Towards Quantum Field Theory in Categorical Quantum Mechanics

TL;DR

This paper develops a categorical framework for infinite-dimensional quantum systems and quantum fields using non-standard analysis, enabling algebraic manipulation of unbounded operators and modeling of various quantum field scenarios.

Contribution

It introduces a novel dagger compact category for infinite-dimensional quantum systems and quantum fields within Categorical Quantum Mechanics, expanding the framework's applicability.

Findings

Constructed a dagger compact category *Hilb for unbounded operators

Modeled quantum systems with periodic boundary conditions and on lattices

Extended the framework to include non-separable Hilbert spaces and quantum fields

Abstract

In this work, we use tools from non-standard analysis to introduce infinite-dimensional quantum systems and quantum fields within the framework of Categorical Quantum Mechanics. We define a dagger compact category *Hilb suitable for the algebraic manipulation of unbounded operators, Dirac deltas and plane-waves. We cover in detail the construction of quantum systems for particles in boxes with periodic boundary conditions, particles on cubic lattices, and particles in real space. Not quite satisfied with this, we show how certain non-separable Hilbert spaces can also be modelled in our non-standard framework, and we explicitly treat the cases of quantum fields on cubic lattices and quantum fields in real space.

Equations

$$P_{\mathcal{H}}=\sum _{n=1}^D|e_n⟩⟨e_n|$$

$${\mathrm{Hom}}_{{}^{\star }\mathrm{Hilb}}\left[\mathcal{H},\mathcal{G}\right]:=\left\{P_{\mathcal{G}}\circ F\circ P_{\mathcal{H}}|F:|\mathcal{H}|\to |\mathcal{G}|\text{ internal linear map}\right\}.$$

$$\bar{F}:=P_{\mathcal{G}}\circ F\circ P_{\mathcal{H}}=\sum_{m=1}^{\dim{\mathcal{G}}}\sum_{n=1}^{\dim{\mathcal{H}}}|f_{m}\rangle\Big{(}\langle f_{m}|F|e_{n}\rangle\Big{)}\langle e_{n}|.$$

$$\sum _{n=1}^{\dim \mathcal{H}}|{\xi }_n⟩\otimes |e_n⟩$$

$$|\chi ⟩:=\underline{x}\to e^{-i2\pi \underline{k}\cdot \underline{x}}$$

$$P_{{\mathcal{H}}_{{\mathbb{T}}^n}}:=\sum _{k_1=-\omega }^{+\omega }...\sum _{k_n=-\omega }^{+\omega }|\chi ⟩⟨\chi |$$

$$\sum _{n=1}^{\dim \mathcal{H}}|{\xi }_n⟩\otimes |e_n⟩$$

$$|{\delta }_{\underline{x}}⟩:=\sum _{k_1=-\omega }^{+\omega }...\sum _{k_n=-\omega }^{+\omega }\chi (\underline{x}{)}^{\ast }|\chi ⟩$$

$$|{\delta }_{\underline{k}}⟩:=\underline{h}\mapsto \{\begin{array}{ll}1& \text{ if }\underline{k}=\underline{h}\\ 0& \text{ otherwise}\end{array}$$

$$P_{{\mathcal{H}}_{{\mathbb{Z}}^n}}:=\sum _{k_1=-\omega }^{+\omega }...\sum _{k_n=-\omega }^{+\omega }|{\delta }_{\underline{k}}⟩⟨{\delta }_{\underline{k}}|$$

$$\sum _{n=1}^{\dim \mathcal{H}}|{\xi }_n⟩\otimes |e_n⟩$$

$$|\chi ⟩:=\sum _{k_1=-\omega }^{+\omega }...\sum _{k_n=-\omega }^{+\omega }{e}^{-i2\pi \underline{k}\cdot \underline{x}}|{\delta }_{\underline{k}}⟩$$

$$\frac{1}{{\omega }_{uv}}{}^{\star }{\mathbb{Z}}_{2\omega +1}^n:=\left\{\underline{p}\in {}^{\star }{\mathbb{R}}^n|\underline{p}=\frac{\underline{k}}{{\omega }_{uv}},\underline{k}\in {}^{\star }{\mathbb{Z}}_{2\omega +1}^n\right\}\subset {}^{\star }{\mathbb{R}}^n$$

$$|\chi ⟩:=\underline{x}\mapsto \frac{1}{\sqrt{{\omega }_{uv}}}{e}^{-i2\pi (\underline{p}\cdot \underline{x})}$$

$$P_{{\mathcal{H}}_{{\mathbb{R}}^n}}:=\sum _{p_1=-{\omega }_{ir}}^{+{\omega }_{ir}}...\sum _{p_n=-{\omega }_{ir}}^{+{\omega }_{ir}}|\chi ⟩⟨\chi |:\equiv \sum _{k_1=-\omega }^{+\omega }...\sum _{k_n=-\omega }^{+\omega }|\chi ⟩⟨\chi |$$

$$\sum _{n=1}^{\dim \mathcal{H}}|{\xi }_n⟩\otimes |e_n⟩$$

$$|{\delta }_{\underline{x}}⟩:=\sum _{p_1=-{\omega }_{ir}}^{+{\omega }_{ir}}...\sum _{p_n=-{\omega }_{ir}}^{+{\omega }_{ir}}\chi (\underline{x}{)}^{\ast }|\chi ⟩$$

$$\sum _{n=1}^{\dim \mathcal{H}}|{\xi }_n⟩\otimes |e_n⟩$$

$${\mathrm{dec}}_{D,m}:\{1,...,D^m\}\to \{1,...,D{\}}^m{\mathrm{enc}}_{D,m}:\{1,...,D{\}}^m\to \{1,...,D^m\}$$

$$|\psi ⟩:=\sum _{s=1}^{D^{\mu }}{\psi }_{{\mathrm{dec}}_{D,\mu }(s)}|e_{{}_{{\mathrm{dec}}_{D,\mu }(s)}}⟩$$

$$|e_{\underline{s}}⟩:=\underset{k_1=-\omega }{\overset{+\omega }{⨂}}...\underset{k_n=-\omega }{\overset{+\omega }{⨂}}|e_{\underline{s}(\underline{k})}⟩$$

$$\underline{s}(\underline{k}):\equiv\;\;\underline{s}\Big{(}\operatorname{enc}_{2\omega+1,n}\big{(}k_{1}+\omega+1,...,k_{n}+\omega+1\big{)}\Big{)}\in\{1,...,D\}$$

$$P_{{\mathcal{H}}^{\otimes {}^{\star }{\mathbb{Z}}_{2\omega +1}^n}}:=\sum _{s=1}^{D^{\mu }}|e_{{\mathrm{dec}}_{D,\mu }(s)}⟩⟨e_{{\mathrm{dec}}_{D,\mu }(s)}|$$

Full text

1 Introduction

The rigorous diagrammatic methods of Categorical Quantum Mechanics [2, 9, 6, 4, 7, 8] have found widely successful application to quantum information, quantum computation and the foundations of quantum theory. Until very recently, however, a major limitation of the framework was its lack of applicability to infinite-dimensional quantum systems, which include many iconic examples from textbook quantum mechanics and quantum field theory. Previous work by the authors [12] partially overcame this limitation, using non-standard analysis à la Robinson [24] to define a dagger compact category ${}^{\star}\!\operatorname{Hilb}$ of infinite-dimensional separable Hilbert spaces. A non-standard approach was chosen because it enables a consistent mathematical treatment of infinitesimal and infinite quantities, such as those involved in the manipulation of unbounded operators, Dirac deltas, plane waves, and many other gadgets and structures featuring in traditional approaches to quantum mechanics.

The debate about the physical interpretation of infinitesimals and infinities is as old as calculus itself [17], and their use always attracts a healthy dose of scepticism. In time, this has lead to an interesting dichotomy, where infinitesimals are used as a quick way to convince oneself of the validity of a statement, but limits are then required for formal justification. Non-standard analysis simply provides a framework to completely replace limits with a consistent algebraic treatment of infinitesimals and infinities. As long as one is willing to assign physical meaning to non-convergent limit constructions—and mainstream quantum mechanics certainly seems to be—there should be little or no problem of physical interpretation.

The original definition of ${}^{\star}\!\operatorname{Hilb}$ from Ref. [12] featured unital $\dagger$-Frobenius algebras on all objects, the main ingredient of Categorical Quantum Mechanics (CQM) which was missing from the category $\operatorname{Hilb}$ of infinite-dimensional Hilbert spaces and bounded operators [3]. It enabled some first, successful applications of CQM methods to infinite-dimensional quantum systems, but was otherwise somewhat limited: most notably, it could not be applied to the case of unbounded quantum particles on real spaces (the single most important textbook example), nor could it tackle the non-separable Hilbert spaces required for the treatment of quantum fields as will be understood as part of this work.

The limitations of the original definition were self-imposed, aimed at keeping the framework simple and more easily relatable, and did not play any relevant role in most constructions we presented. The starting point of this work, in Section 2, is a re-definition of the category ${}^{\star}\!\operatorname{Hilb}$, addressing those unnecessary limitations. Specifically, we remove the requirement that the underlying Hilbert spaces for the objects of ${}^{\star}\!\operatorname{Hilb}$ be standard and separable, and we provide a basis-independent formulation of the objects themselves: aside from making the formalism significantly more powerful, this choice has the categorically pleasing effect of identifying ${}^{\star}\!\operatorname{Hilb}$ as a full subcategory of the Karoubi envelope for the category of non-standard Hilbert spaces and $\,{}^{\star}\mathbb{C}$-linear maps.

The rest of this work is dedicated to the explicit construction of quantum systems of interest in a number of traditional applications of quantum mechanics. In Section 3 we construct the space of wavefunctions in an $n$-dimensional box with periodic boundary conditions $\mathbb{T}^{n}$, while in Section 4 we construct the space of wavefunctions on an $n$-dimensional lattice $\mathbb{Z}^{n}$; both these examples were sketched in the original Ref. [12], and are here reproduced in additional detail. In Section 5 we construct the space of unbounded wavefunctions in an $n$-dimensional real space $\mathbb{R}^{n}$, which we approximate using an infinite lattice of infinitesimal mesh (a well-tested trick in non-standard analysis [24]). For each of these three constructions, we provide a strongly complementary pair corresponding to the position and momentum observables. In Sections 6 and 7, we proceed to treat two cases of non-separable standard Hilbert spaces, exploiting a somewhat surprising fact about exponentials of infinite non-standard integers: in Section 6 we construct the space of quantum fields on an $n$-dimensional lattice $\mathbb{Z}^{n}$; in Section 7, we once again use an infinite lattice of infinitesimal mesh to construct the space of quantum fields in real space $\mathbb{R}^{n}$.

Before moving on, we should remark that the originality of this work and the work of Ref. [12] does not lie in the application of non-standard methods to conventional quantum theory, for which a rich literature already exists [11, 21, 20, 22, 27, 23]. Rather, it lies in the application of non-standard methods to solve a set of issues—lack of Frobenius algebras, compact closed structure and strongly complementary pairs, to mention just a few—which prevented the algebraic/diagrammatic methods of Categorical Quantum Mechanics from being applied to the infinite-dimensional setting.

2 Redefining ${}^{\star}\!\operatorname{Hilb}$

We define the symmetric monoidal category ${}^{\star}\!\operatorname{Hilb}$ (read: Star Hilb) to have objects in the form of pairs $\mathcal{H}:=(|\mathcal{H}|,P_{\mathcal{H}})$, where $|\mathcal{H}|$ is a non-standard Hilbert space111Note that we dropped the requirement that $|\mathcal{H}|$ be separable, or even that $|\mathcal{H}|=\,^{\star}V$ for some standard Hilbert space $V$. (the underlying Hilbert space) and $P_{\mathcal{H}}:|\mathcal{H}|\rightarrow|\mathcal{H}|$ is an internal non-standard $\,{}^{\star}\mathbb{C}$-linear map which satisfies the following requirements.

• •

The map $P_{\mathcal{H}}$ is a self-adjoint idempotent (we refer to it as the truncating projector).

• •

There is some family $|e_{n}\rangle_{n=1}^{D}$ of orthonormal vectors222Note that we dropped the requirement that $|e_{n}\rangle_{n=1}^{D}$ be (a non-standard extension of) a standard orthonormal basis. in $|\mathcal{H}|$, for some $D\in\,^{\star}\mathbb{N}$, such that:

[TABLE]

The existence of such families is guaranteed by Transfer Theorem. Again by Transfer Theorem, $D$ is the same for all such choices of orthonormal families, and we can consistently define the dimension of $\mathcal{H}$ to be $\dim{\mathcal{H}}:=D\in\,^{\star}\mathbb{N}$.

The morphisms of our re-defined ${}^{\star}\!\operatorname{Hilb}$ take the same form as those given in the original definition (they are internal non-standard $\,{}^{\star}\mathbb{C}$-linear maps, with the truncating projectors acting as identities):

[TABLE]

This means that ${}^{\star}\!\operatorname{Hilb}$ is now a genuine full subcategory of the Karoubi envelope for the category of non-standard Hilbert spaces and non-standard $\,{}^{\star}\mathbb{C}$-linear maps. The rest of the construction proceeds exactly as it did in the original definition, and ${}^{\star}\!\operatorname{Hilb}$ is a dagger symmetric monoidal category ($\dagger$-SMC, for short). Morphisms can still be represented as matrices (although no longer in a canonical way), by choosing orthonormal sets which diagonalise the relevant truncating projectors:

[TABLE]

The tensor, symmetric braiding and dagger can be defined as usual by looking at the matrix decomposition, and by Transfer Theorem they are invariant under different choices of diagonalising orthonormal sets. Similarly, unital special commutative $\dagger$-Frobenius algebras can be constructed for all orthonormal bases of an object $\mathcal{H}$ (i.e. for all orthonormal families diagonalising the truncating projector $P_{\mathcal{H}}$). The interested reader is referred to Ref. [12] for the details of the original constructions, which are unchanged.

Contrary to the dagger symmetric monoidal structure, the compact closed structure in the original definition was given in terms of the chosen orthonormal basis for each object, and needs to be adapted to our new basis-invariant definition. Consider an object $\mathcal{H}$ of ${}^{\star}\!\operatorname{Hilb}$, together with a diagonalisation $P_{\mathcal{H}}=\sum_{n=1}^{\dim{\mathcal{H}}}|e_{n}\rangle\langle e_{n}|$ of its truncating projector. Also consider the dual $|\mathcal{H}|^{\ast}$ to the underlying Hilbert space $|\mathcal{H}|$ of $\mathcal{H}$ (which exists by Transfer Theorem), together with the orthonormal set $|\xi_{n}\rangle_{n=1}^{\dim{\mathcal{H}}}$ of vectors in $|\mathcal{H}|^{\ast}$ specified by the adjoints of the states333I.e. $|\xi_{n}\rangle$ is the vector in $|\mathcal{H}|^{\ast}$ specified by the linear operator $\langle e_{n}|$ on $|\mathcal{H}|$. in the orthonormal family $|e_{n}\rangle_{n=1}^{\dim{\mathcal{H}}}$. We define the dual object $\mathcal{H}^{\ast}$ to be given by the pair $\mathcal{H}^{\ast}:=(|\mathcal{H}|^{\ast},P_{\mathcal{H}^{\ast}})$, where the truncating projector is defined by $P_{\mathcal{H}^{\ast}}:=\sum_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\langle\xi_{n}|$ (it is a standard check that this definition is basis-invariant). The compact closed structure is defined as follows (once again, it is a standard check that this definition is basis-invariant):

[TABLE]

The dual object $\mathcal{H}^{\ast}$ has the same dimension as $\mathcal{H}$, and the non-standard natural number $\dim{\mathcal{H}}$ coincides with the scalar given by the definition of dimension in dagger compact categories:

[TABLE]

Let $\,{}^{\star}\operatorname{\operatorname{sHilb}}$ be the full subcategory of ${}^{\star}\!\operatorname{Hilb}$ given by those objects $\mathcal{H}$ such that $|\mathcal{H}|=\,^{\star}V$ for some separable standard Hilbert space $V$, and such that the truncating projector spans all near-standard vectors. Let $\,{}^{\star}\operatorname{\operatorname{sHilb}}^{(std)}$ be the sub-$\dagger$-SMC of $\,{}^{\star}\operatorname{\operatorname{sHilb}}$ given by near-standard morphisms. In particular, the original ${}^{\star}\!\operatorname{Hilb}$ from Ref. [12] is a full subcategory of the newly defined $\,{}^{\star}\operatorname{\operatorname{sHilb}}$, and the original ${}^{\star}\!\operatorname{Hilb}^{(std)}$ featuring in Theorem 3.4 of Ref. [12] is a full subcategory of the newly defined $\,{}^{\star}\operatorname{\operatorname{sHilb}}^{(std)}$. We can define a standard part functor $\operatorname{st}:\;\,^{\star}\operatorname{\operatorname{sHilb}}^{(std)}\rightarrow\operatorname{sHilb}$, which acts as $\mathcal{H}\mapsto|\mathcal{H}|$ on objects and as $F\mapsto\operatorname{st}(F)$ on morphisms. The standard part functor is $\mathbb{C}$-linear, and identifies two near-standard maps $F,G:\mathcal{H}\rightarrow\mathcal{K}$ if and only if $F-G$ has infinitesimal operator norm; this defines an equivalence relation on morphisms in $\,{}^{\star}\operatorname{\operatorname{sHilb}}^{(std)}$, which we denote by $\sim$ and refer to as infinitesimal equivalence. The equivalence relation $\sim$ respects composition, tensor product and dagger, and endows $\,{}^{\star}\operatorname{\operatorname{sHilb}}^{(std)}$ with the structure of a $\dagger$-symmetric monoidal 2-category. We can also define a weak444By weak we mean that composition and tensor product are respected only up to infinitesimal equivalence, i.e. that we have $\operatorname{lift}_{\omega}[f\circ g]\sim\operatorname{lift}_{\omega}[f]\circ\operatorname{lift}_{\omega}[g]$ and $\operatorname{lift}_{\omega}[f\otimes g]\sim\operatorname{lift}_{\omega}[f]\otimes\operatorname{lift}_{\omega}[g]$ truncation functor $\operatorname{lift}_{\omega}:\operatorname{sHilb}\rightarrow\,\,^{\star}\operatorname{\operatorname{sHilb}}^{(std)}$, which acts as $V\mapsto(V,P^{(V)})$ on objects555The truncating projectors $P^{(V)}$ are defined by appropriately choosing an orthonormal basis $|e_{n}^{(V)}\rangle_{n}$ for each separable $V$, and letting $P^{(V)}:=\sum_{n=1}^{\dim{V}}|e_{n}^{(V)}\rangle\langle e_{n}^{(V)}|$ (where we set $\dim{V}:=\omega$ for infinite-dimensional standard Hilbert spaces $V$). and sends the standard morphism $f:V\rightarrow W$ to the non-standard morphism $P^{(W)}\circ\,^{\star}f\circ P^{(V)}$ (here $\,{}^{\star}\!f$ is the non-standard extension of $f$). The following result relates $\operatorname{sHilb}$ and $\,{}^{\star}\operatorname{\operatorname{sHilb}}^{(std)}_{\omega}$, the full subcategory of $\,{}^{\star}\operatorname{\operatorname{sHilb}}^{(std)}$ spanned by those objects $\mathcal{H}$ having dimension $\dim{\mathcal{H}}\in\,^{\star}\mathbb{N}$ which is either a finite natural or the infinite natural $\omega$.

Theorem 2.1** (Updated version of Theorem 3.4 from Ref. [12]).**

The standard part and truncation functors determine a weak equivalence between $\operatorname{sHilb}$ and $\,{}^{\star}\operatorname{\operatorname{sHilb}}^{(std)}_{\omega}$:

1. (i)

$\operatorname{st}$* is a full dagger monoidal functor, which is surjective on objects;* 2. (ii)

$\operatorname{lift}_{\omega}$* is a weak dagger monoidal faithful functor from a $\dagger$-SMC to a $\dagger$-symmetric monoidal 2-category, which is injective and essentially surjective on objects (its restriction to $\operatorname{fHilb}$ is strict);* 3. (iii)

$\operatorname{st}$* is a left inverse to $\operatorname{lift}_{\omega}$;* 4. (iv)

for all objects $\mathcal{H}$ of $\,\,{}^{\star}\operatorname{\operatorname{sHilb}}^{(std)}_{\omega}$ there is a canonical unitary isomorphism $\bar{u}_{\mathcal{H}}:\mathcal{H}\rightarrow\operatorname{lift}_{\omega}[\operatorname{st}(\mathcal{H})]$, the unique one which satisfies $\operatorname{st}(\bar{u}_{\mathcal{H}})=id_{\operatorname{st}(\mathcal{H})}$; 5. (v)

for all morphisms $F:\mathcal{H}\rightarrow\mathcal{G}$ in $\,{}^{\star}\operatorname{\operatorname{sHilb}}^{(std)}_{\omega}$ we have $\bar{u}_{\mathcal{G}}^{\dagger}\circ\operatorname{lift}_{\omega}[\operatorname{st}(F)]\circ\bar{u}_{\mathcal{H}}\sim F$.

Proof.

Essentially the same of Theorem 3.4 from Ref. [12], using the fact that the subspace defined by the truncating projector $P_{\mathcal{H}}$ contains at least all near-standard vectors in $\mathcal{H}$. ∎

Remark 2.2**.**

Unfortunately, the updated version of Theorem 3.4 only covers standard separable Hilbert spaces, while we will see that our re-defined ${}^{\star}\!\operatorname{Hilb}$ allows us to treat some standard non-separable spaces as well. We believe Theorem 3.4 to be likely to extend to some subcategory of standard non-separable spaces, but an exact determination of the necessary and sufficient conditions is left to future work.

The essence of Theorem 2.1 is that $\operatorname{sHilb}$ is equivalent to the subcategory $\,{}^{\star}\operatorname{\operatorname{sHilb}}^{(std)}_{\omega}$ of ${}^{\star}\!\operatorname{Hilb}$ given by near-standard morphisms, as long as we take care to equate morphisms which are infinitesimally close. The equivalence allows one to prove results about $\operatorname{sHilb}$ by working in ${}^{\star}\!\operatorname{Hilb}$ and taking advantage of the full CQM machinery, according to the following general recipe:

1. (i)

start from a morphism in $\operatorname{sHilb}$; 2. (ii)

lift to $\,{}^{\star}\operatorname{\operatorname{sHilb}}^{(std)}_{\omega}$ via the lifting functor; 3. (iii)

work in ${}^{\star}\!\operatorname{Hilb}$, obtain a result in $\,{}^{\star}\operatorname{\operatorname{sHilb}}^{(std)}_{\omega}$; 4. (iv)

descend to $\operatorname{sHilb}$ via the standard part functor.

This procedure is conceptually akin to using the two directions of the transfer theorem to prove results of standard analysis using non-standard methods. When proving equalities of morphisms in $\operatorname{sHilb}$, it is in fact sufficient to lift both sides via $\operatorname{lift}_{\omega}$, and prove the equality in ${}^{\star}\!\operatorname{Hilb}$ without further constraints (this is because both sides will necessarily be lifted to $\,{}^{\star}\operatorname{\operatorname{sHilb}}^{(std)}_{\omega}$).

The arbitrary choice of infinite natural $\omega$ in the lifting part of the recipe might seem unnatural at first, as the objects $\operatorname{lift}_{\omega}[V]$ and $\operatorname{lift}_{\omega^{\prime}}[V]$ are not isomorphic in ${}^{\star}\!\operatorname{Hilb}$ for different infinite naturals $\omega\neq\omega^{\prime}$. However, this is not actually an issue: from the perspective of $\operatorname{sHilb}$, the two spaces are equivalent for all intents and purposes, and any proof that can be performed in one space can also be performed in the other. This could be made precise by saying that setting $\Phi_{\omega,\omega^{\prime}}:=(\operatorname{lift}_{\omega^{\prime}}\circ\operatorname{st})$ defines a weak equivalence $\Phi_{\omega,\omega^{\prime}}:^{\star}\!\operatorname{Hilb}^{(std)}_{\omega}\rightarrow^{\star}\!\operatorname{Hilb}^{(std)}_{\omega^{\prime}}$ such that $\operatorname{st}(\Phi_{\omega,\omega^{\prime}}(\bar{F}))=\operatorname{st}(\bar{F})$ holds for all morphisms $\bar{F}$ in ${}^{\star}\!\operatorname{Hilb}^{(std)}_{\omega}$. From this point of view, the same limiting objects (e.g. Diract deltas, plane-waves and unbounded operators) corresponding to different choices of $\omega$ can be interpreted as incarnations of the same conceptual objects seen at different values for the “infinite cut-off parameter” $\omega$.

3 Particles in boxes with periodic boundary conditions

Consider a quantum particle in a $n$-dimensional box with periodic boundary conditions: this can equivalently be seen as a quantum particle in an $n$-dimensional torus , and hence it corresponds to the Hilbert space $\operatorname{L}^{2}[\mathbb{T}^{n}]$ (the $n$-dimensional torus is acted freely and transitively upon by its translation group $\mathbb{T}^{n}$). The momentum eigenstates for the particle form a countable complete orthonormal basis for $\operatorname{L}^{2}[\mathbb{T}^{n}]$, with the eigenstate of momentum $\underline{k}\hbar$ ($\underline{k}\in\mathbb{Z}^{n}$) given by the following square-integrable function $\mathbb{T}^{n}\rightarrow\mathbb{C}$:

[TABLE]

We take a non-standard extension |\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle_{k_{1},...,k_{n}=-\omega}^{+\omega} of the standard orthonormal basis of momentum eigenstates, where $\omega\in\,^{\star}\mathbb{N}$ is some infinite non-standard natural, and we consider the \big{(}(2\omega+1)^{n}\big{)}-dimensional object ${\mathcal{H}_{\,\mathbb{T}^{n}}}:=(\,^{\star}\operatorname{L}^{2}[\mathbb{T}^{n}],P_{\mathcal{H}_{\,\mathbb{T}^{n}}})$ defined by the following truncating projector:

[TABLE]

We take this object to be our model in ${}^{\star}\!\operatorname{Hilb}$ of a quantum particle in an $n$-dimensional box with periodic boundary conditions, and we refer to the family |\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle_{k_{1},...,k_{n}=-\omega}^{+\omega} as the momentum eigenstates for ${\mathcal{H}_{\,\mathbb{T}^{n}}}$. Pretty much by definition, this object comes with a unital special commutative $\dagger$-Frobenius algebra corresponding to the momentum observable for the particle:

[TABLE]

The labels of the momentum eigenstates can be endowed with the infinite abelian group structure of $({\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}},\oplus,\underline{0})$, which is defined in full detail in the Appendix, and we can consider the linear extension of the group multiplication and unit:

[TABLE]

It is immediate to check that these two maps form, together with their adjoints, a unital quasi-special commutative $\dagger$-Frobenius algebra, with normalisation factor $(2\omega+1)^{n}$. Furthermore, a result of Ref. [13] guarantees that (\hbox{ \leavevmode\hbox to5.52pt{\vbox to5.52pt{\pgfpicture\makeatletter\hbox{\hskip 2.7607pt\lower-2.7607pt\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\pgfsys@setlinewidth{0.4pt}\pgfsys@invoke{ }\nullfont\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{{ {\pgfsys@beginscope \pgfsys@setdash{}{0.0pt}\pgfsys@roundcap\pgfsys@roundjoin{} {}{}{} {}{}{} \pgfsys@moveto{-2.07999pt}{2.39998pt}\pgfsys@curveto{-1.69998pt}{0.95998pt}{-0.85318pt}{0.28pt}{0.0pt}{0.0pt}\pgfsys@curveto{-0.85318pt}{-0.28pt}{-1.69998pt}{-0.95998pt}{-2.07999pt}{-2.39998pt}\pgfsys@stroke\pgfsys@endscope}} } {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-181.38011pt}{0.40538pt}\pgfsys@curveto{-181.11555pt}{9.0722pt}{-172.37865pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-181.38634pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{53.34892pt}{-14.22638pt}\pgfsys@curveto{62.2602pt}{-14.22638pt}{71.1319pt}{-8.91127pt}{71.1319pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{53.34892pt}{14.22638pt}\pgfsys@curveto{62.12419pt}{14.22636pt}{70.86113pt}{9.0722pt}{71.1257pt}{0.40538pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{71.1319pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-181.38634pt}{0.0pt}\pgfsys@curveto{-181.38634pt}{-8.91127pt}{-172.51463pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-177.82414pt}{0.40282pt}\pgfsys@curveto{-177.61205pt}{8.09265pt}{-171.34596pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-177.82974pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{-163.60336pt}{-14.22638pt}\pgfsys@curveto{-155.86075pt}{-14.22636pt}{-149.59459pt}{-8.09265pt}{-149.38249pt}{-0.40282pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{1.0}{-1.0}{0.0}{-149.37698pt}{-0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-163.60336pt}{14.22638pt}\pgfsys@curveto{-155.72601pt}{14.22638pt}{-149.37698pt}{7.87735pt}{-149.37698pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@curveto{-177.82974pt}{-7.87735pt}{-171.48071pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-181.38634pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-116.83374pt}{-9.03459pt}{62.95093pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-116.54921pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{71.1319pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-147.54158pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{87.19368pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{120.12369pt}{-9.03459pt}{58.50659pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{120.40822pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-100.14684pt}{-9.03459pt}{86.48264pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-99.8623pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-149.37698pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-131.92632pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{10.33748pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{37.42444pt}{-3.75674pt}{24.73578pt}{7.51349pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{37.70897pt}{-3.47221pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\dim{\mathcal{H}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{165.75395pt}{-9.03459pt}{81.0571pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.03848pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.68272pt}{-9.03459pt}{130.45993pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-93.3982pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-90.17656pt}{-9.03459pt}{151.90036pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-89.89203pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }{{}}{{}} \par \par\par{{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{2.5607pt}{0.0pt}\pgfsys@curveto{2.5607pt}{1.41425pt}{1.41425pt}{2.5607pt}{0.0pt}{2.5607pt}\pgfsys@curveto{-1.41425pt}{2.5607pt}{-2.5607pt}{1.41425pt}{-2.5607pt}{0.0pt}\pgfsys@curveto{-2.5607pt}{-1.41425pt}{-1.41425pt}{-2.5607pt}{0.0pt}{-2.5607pt}\pgfsys@curveto{1.41425pt}{-2.5607pt}{2.5607pt}{-1.41425pt}{2.5607pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{0.0pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.59999}{0.0}{0.0}{0.59999}{0.0pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \par \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope{}{}{}\hss}\pgfsys@discardpath\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hss}}\lxSVG@closescope\endpgfpicture}} }\!\!,\hbox{ \leavevmode\hbox to5.52pt{\vbox to5.52pt{\pgfpicture\makeatletter\hbox{\hskip 2.7607pt\lower-2.7607pt\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\pgfsys@setlinewidth{0.4pt}\pgfsys@invoke{ }\nullfont\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{{ {\pgfsys@beginscope \pgfsys@setdash{}{0.0pt}\pgfsys@roundcap\pgfsys@roundjoin{} {}{}{} {}{}{} \pgfsys@moveto{-2.07999pt}{2.39998pt}\pgfsys@curveto{-1.69998pt}{0.95998pt}{-0.85318pt}{0.28pt}{0.0pt}{0.0pt}\pgfsys@curveto{-0.85318pt}{-0.28pt}{-1.69998pt}{-0.95998pt}{-2.07999pt}{-2.39998pt}\pgfsys@stroke\pgfsys@endscope}} } {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-181.38011pt}{0.40538pt}\pgfsys@curveto{-181.11555pt}{9.0722pt}{-172.37865pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-181.38634pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{53.34892pt}{-14.22638pt}\pgfsys@curveto{62.2602pt}{-14.22638pt}{71.1319pt}{-8.91127pt}{71.1319pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{53.34892pt}{14.22638pt}\pgfsys@curveto{62.12419pt}{14.22636pt}{70.86113pt}{9.0722pt}{71.1257pt}{0.40538pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{71.1319pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-181.38634pt}{0.0pt}\pgfsys@curveto{-181.38634pt}{-8.91127pt}{-172.51463pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-177.82414pt}{0.40282pt}\pgfsys@curveto{-177.61205pt}{8.09265pt}{-171.34596pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-177.82974pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{-163.60336pt}{-14.22638pt}\pgfsys@curveto{-155.86075pt}{-14.22636pt}{-149.59459pt}{-8.09265pt}{-149.38249pt}{-0.40282pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{1.0}{-1.0}{0.0}{-149.37698pt}{-0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-163.60336pt}{14.22638pt}\pgfsys@curveto{-155.72601pt}{14.22638pt}{-149.37698pt}{7.87735pt}{-149.37698pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@curveto{-177.82974pt}{-7.87735pt}{-171.48071pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-181.38634pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-116.83374pt}{-9.03459pt}{62.95093pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-116.54921pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{71.1319pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-147.54158pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{87.19368pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{120.12369pt}{-9.03459pt}{58.50659pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{120.40822pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-100.14684pt}{-9.03459pt}{86.48264pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-99.8623pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-149.37698pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-131.92632pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{10.33748pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{37.42444pt}{-3.75674pt}{24.73578pt}{7.51349pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{37.70897pt}{-3.47221pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\dim{\mathcal{H}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{165.75395pt}{-9.03459pt}{81.0571pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.03848pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.68272pt}{-9.03459pt}{130.45993pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-93.3982pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-90.17656pt}{-9.03459pt}{151.90036pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-89.89203pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|\otimes\langle\raisebox{2.0pt}{$\chi$}_{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }{{}}{{}} \par \par\par{{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{2.5607pt}{0.0pt}\pgfsys@curveto{2.5607pt}{1.41425pt}{1.41425pt}{2.5607pt}{0.0pt}{2.5607pt}\pgfsys@curveto{-1.41425pt}{2.5607pt}{-2.5607pt}{1.41425pt}{-2.5607pt}{0.0pt}\pgfsys@curveto{-2.5607pt}{-1.41425pt}{-1.41425pt}{-2.5607pt}{0.0pt}{-2.5607pt}\pgfsys@curveto{1.41425pt}{-2.5607pt}{2.5607pt}{-1.41425pt}{2.5607pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{0.0pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.59999}{0.0}{0.0}{0.59999}{0.0pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \par \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope{}{}{}\hss}\pgfsys@discardpath\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hss}}\lxSVG@closescope\endpgfpicture}} }\!\!) is a strongly complementary pair of unital $\dagger$-Frobenius algebras666The relevant result is Theorem 3.4 of Ref. [13], which requires
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|

to have enough classical states (the momentum eigenstates), (\!\hbox{ \leavevmode\hbox to21.07pt{\vbox to14.24pt{\pgfpicture\makeatletter\hbox{\hskip 10.53546pt\lower-7.12123pt\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\pgfsys@setlinewidth{0.4pt}\pgfsys@invoke{ }\nullfont\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{{ {\pgfsys@beginscope \pgfsys@setdash{}{0.0pt}\pgfsys@roundcap\pgfsys@roundjoin{} {}{}{} {}{}{} \pgfsys@moveto{-2.07999pt}{2.39998pt}\pgfsys@curveto{-1.69998pt}{0.95998pt}{-0.85318pt}{0.28pt}{0.0pt}{0.0pt}\pgfsys@curveto{-0.85318pt}{-0.28pt}{-1.69998pt}{-0.95998pt}{-2.07999pt}{-2.39998pt}\pgfsys@stroke\pgfsys@endscope}} } {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-181.38011pt}{0.40538pt}\pgfsys@curveto{-181.11555pt}{9.0722pt}{-172.37865pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-181.38634pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{53.34892pt}{-14.22638pt}\pgfsys@curveto{62.2602pt}{-14.22638pt}{71.1319pt}{-8.91127pt}{71.1319pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{53.34892pt}{14.22638pt}\pgfsys@curveto{62.12419pt}{14.22636pt}{70.86113pt}{9.0722pt}{71.1257pt}{0.40538pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{71.1319pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-181.38634pt}{0.0pt}\pgfsys@curveto{-181.38634pt}{-8.91127pt}{-172.51463pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-177.82414pt}{0.40282pt}\pgfsys@curveto{-177.61205pt}{8.09265pt}{-171.34596pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-177.82974pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{-163.60336pt}{-14.22638pt}\pgfsys@curveto{-155.86075pt}{-14.22636pt}{-149.59459pt}{-8.09265pt}{-149.38249pt}{-0.40282pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{1.0}{-1.0}{0.0}{-149.37698pt}{-0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-163.60336pt}{14.22638pt}\pgfsys@curveto{-155.72601pt}{14.22638pt}{-149.37698pt}{7.87735pt}{-149.37698pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@curveto{-177.82974pt}{-7.87735pt}{-171.48071pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-181.38634pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-116.83374pt}{-9.03459pt}{62.95093pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-116.54921pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{71.1319pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-147.54158pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{87.19368pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{120.12369pt}{-9.03459pt}{58.50659pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{120.40822pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-100.14684pt}{-9.03459pt}{86.48264pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-99.8623pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-149.37698pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-131.92632pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{10.33748pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{37.42444pt}{-3.75674pt}{24.73578pt}{7.51349pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{37.70897pt}{-3.47221pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\dim{\mathcal{H}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{165.75395pt}{-9.03459pt}{81.0571pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.03848pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.68272pt}{-9.03459pt}{130.45993pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-93.3982pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-90.17656pt}{-9.03459pt}{151.90036pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-89.89203pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }{{}}{{}}{{}} \par \par\par{{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}}{}{}{}{}{} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-0.59999}{0.59999}{0.0}{-8.53569pt}{5.12146pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}}{}{}{}{}{} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-0.59999}{0.59999}{0.0}{-8.53569pt}{-5.12146pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{0.0pt}{-2.5607pt}\pgfsys@curveto{1.41425pt}{-2.5607pt}{2.5607pt}{-1.41425pt}{2.5607pt}{0.0pt}\pgfsys@curveto{2.5607pt}{1.41425pt}{1.41425pt}{2.5607pt}{0.0pt}{2.5607pt}\pgfsys@curveto{-1.41425pt}{2.5607pt}{-2.5607pt}{1.41425pt}{-2.5607pt}{0.0pt}\pgfsys@curveto{-2.5607pt}{-1.41425pt}{-1.41425pt}{-2.5607pt}{0.0pt}{-2.5607pt}\pgfsys@closepath\pgfsys@moveto{0.0pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-0.59999}{0.59999}{0.0}{0.0pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}}{}{}{}{}{} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-0.59999}{0.59999}{0.0}{8.53569pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \par{ {}{}{}{}}{} {{}{{}{}}{}{}}{{}{}{{}}{}{}}{{}{}}{{}} {{}{{}{}}{}{}}{{{}}{{}}}{{}}{{}{}{{}}{}{}}{{{}}{{}}}{{}{}}{}{{}}{{{{{}}{}{ {}{}}{}{}{{}{}}}{}}}{{}}{}{{{{{{}}{}{}{}{}{}{{}}}{}}}{}{}{}{}}{}\pgfsys@moveto{-6.41583pt}{5.12137pt}\pgfsys@curveto{-4.24825pt}{5.12138pt}{-3.4282pt}{3.4282pt}{-1.8955pt}{1.8955pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}{}}{} {{}{{}{}}{}{}}{{}{}{{}}{}{}}{{}{}}{{}} {{}{{}{}}{}{}}{{{}}{{}}}{{}}{{}{}{{}}{}{}}{{{}}{{}}}{{}{}}{}{{}}{{{{{}}{}{ {}{}}{}{}{{}{}}}{}}}{{}}{}{{{{{{}}{}{}{}{}{}{{}}}{}}}{}{}{}{}}{}\pgfsys@moveto{-6.41583pt}{-5.12137pt}\pgfsys@curveto{-4.24825pt}{-5.12138pt}{-3.4282pt}{-3.4282pt}{-1.8955pt}{-1.8955pt}\pgfsys@stroke\pgfsys@invoke{ } {{}{}}{}{ {}{}{}{}} {{{{{}}{}{ {}{}}{}{}{{}{}}}{}}}{}{{{{{}}{}{}{}{}{}{{}}}{}}}{{}}{}{}{}{}\pgfsys@moveto{2.68065pt}{0.0pt}\pgfsys@lineto{6.41583pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \par \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope{}{}{}\hss}\pgfsys@discardpath\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hss}}\lxSVG@closescope\endpgfpicture}} }\!\!,\!\hbox{ \leavevmode\hbox to19.07pt{\vbox to10.24pt{\pgfpicture\makeatletter\hbox{\hskip 8.53569pt\lower-5.12146pt\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\pgfsys@setlinewidth{0.4pt}\pgfsys@invoke{ }\nullfont\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{{ {\pgfsys@beginscope \pgfsys@setdash{}{0.0pt}\pgfsys@roundcap\pgfsys@roundjoin{} {}{}{} {}{}{} \pgfsys@moveto{-2.07999pt}{2.39998pt}\pgfsys@curveto{-1.69998pt}{0.95998pt}{-0.85318pt}{0.28pt}{0.0pt}{0.0pt}\pgfsys@curveto{-0.85318pt}{-0.28pt}{-1.69998pt}{-0.95998pt}{-2.07999pt}{-2.39998pt}\pgfsys@stroke\pgfsys@endscope}} } {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-181.38011pt}{0.40538pt}\pgfsys@curveto{-181.11555pt}{9.0722pt}{-172.37865pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-181.38634pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{53.34892pt}{-14.22638pt}\pgfsys@curveto{62.2602pt}{-14.22638pt}{71.1319pt}{-8.91127pt}{71.1319pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{53.34892pt}{14.22638pt}\pgfsys@curveto{62.12419pt}{14.22636pt}{70.86113pt}{9.0722pt}{71.1257pt}{0.40538pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{71.1319pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-181.38634pt}{0.0pt}\pgfsys@curveto{-181.38634pt}{-8.91127pt}{-172.51463pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-177.82414pt}{0.40282pt}\pgfsys@curveto{-177.61205pt}{8.09265pt}{-171.34596pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-177.82974pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{-163.60336pt}{-14.22638pt}\pgfsys@curveto{-155.86075pt}{-14.22636pt}{-149.59459pt}{-8.09265pt}{-149.38249pt}{-0.40282pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{1.0}{-1.0}{0.0}{-149.37698pt}{-0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-163.60336pt}{14.22638pt}\pgfsys@curveto{-155.72601pt}{14.22638pt}{-149.37698pt}{7.87735pt}{-149.37698pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@curveto{-177.82974pt}{-7.87735pt}{-171.48071pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-181.38634pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-116.83374pt}{-9.03459pt}{62.95093pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-116.54921pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{71.1319pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-147.54158pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{87.19368pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{120.12369pt}{-9.03459pt}{58.50659pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{120.40822pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-100.14684pt}{-9.03459pt}{86.48264pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-99.8623pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-149.37698pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-131.92632pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{10.33748pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{37.42444pt}{-3.75674pt}{24.73578pt}{7.51349pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{37.70897pt}{-3.47221pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\dim{\mathcal{H}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{165.75395pt}{-9.03459pt}{81.0571pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.03848pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.68272pt}{-9.03459pt}{130.45993pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-93.3982pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-90.17656pt}{-9.03459pt}{151.90036pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-89.89203pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|\otimes\langle\raisebox{2.0pt}{$\chi$}_{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }{{}}{{}}{{}} \par \par{}{{}}{} {}{{}}{}{}{}{}{{}}{} \par{{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{0,0,0}\pgfsys@color@gray@fill{0}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{0,0,0}\pgfsys@color@gray@fill{0}\pgfsys@invoke{ }{}\pgfsys@moveto{0.0pt}{-2.5607pt}\pgfsys@curveto{1.41425pt}{-2.5607pt}{2.5607pt}{-1.41425pt}{2.5607pt}{0.0pt}\pgfsys@curveto{2.5607pt}{1.41425pt}{1.41425pt}{2.5607pt}{0.0pt}{2.5607pt}\pgfsys@curveto{-1.41425pt}{2.5607pt}{-2.5607pt}{1.41425pt}{-2.5607pt}{0.0pt}\pgfsys@curveto{-2.5607pt}{-1.41425pt}{-1.41425pt}{-2.5607pt}{0.0pt}{-2.5607pt}\pgfsys@closepath\pgfsys@moveto{0.0pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-0.59999}{0.59999}{0.0}{0.0pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}}{}{}{}{}{} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-0.59999}{0.59999}{0.0}{8.53569pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}{}}{}{ {}{}{}{}} {{{{{}}{}{ {}{}}{}{}{{}{}}}{}}}{}{{{{{}}{}{}{}{}{}{{}}}{}}}{{}}{}{}{}{}\pgfsys@moveto{2.68065pt}{0.0pt}\pgfsys@lineto{6.41583pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \par \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope{}{}{}\hss}\pgfsys@discardpath\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hss}}\lxSVG@closescope\endpgfpicture}} }\!\!) to endow the
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|

-classical states with the structure of a group (the group ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$), and
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|

to be
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|

-classical.. The following position eigenstates $|\delta_{\underline{x}}\rangle$, indexed by $\underline{x}\in\frac{1}{2\omega+1}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ (a lattice in the non-standard torus $\,{}^{\star}\mathbb{T}^{n}$) are the
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|

-classical states (they are orthogonal777They are orthogonal because they are copied by a quasi-special commutative $\dagger$-FA in a SMC where scalars form a field [10]. and have square norm $(2\omega+1)^{n}$; see the Appendix for a proof):

[TABLE]

For all $\underline{x}\in\frac{1}{2\omega+1}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ and all standard smooth $f\in\operatorname{L}^{2}[\mathbb{T}^{n}]$, the position eigenstates satisfy the identity $\operatorname{st}(\langle\delta_{\underline{x}}|f\rangle)=f(\operatorname{st}(\underline{x}))$ by Transfer Theorem: hence the position eigenstates (as we defined them) behave exactly as expected from Dirac delta functions, and we can legitimately refer to
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|

as the position observable for the particle. Note the duality between the large-scale cut-off on momenta in $\,{}^{\star}\mathbb{Z}^{n}$ (which are bounded in magnitude by $\sqrt{n}\omega\hbar$) and the small-scale cut-off on positions in $\,{}^{\star}\mathbb{T}^{n}$ (which are discretised onto a lattice of infinitesimal mesh $\frac{1}{2\omega+1}$): in our non-standard framework, this well-known phenomenon arises in a purely algebraic way from the copy condition for
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|

-classical states (see the Appendix).

4 Particles on lattices

Consider a particle on an $n$-dimensional cubic lattice, corresponding to the Hilbert space $\operatorname{L}^{2}[\mathbb{Z}^{n}]$. The position eigenstates for the particle form a countable complete orthonormal basis for $\operatorname{L}^{2}[\mathbb{Z}^{n}]$, with the eigenstate of position $\underline{k}\in\mathbb{Z}^{n}$ given by the following square-integrable function $\mathbb{Z}^{n}\rightarrow\mathbb{C}$:

[TABLE]

We take a non-standard extension $|\delta_{\underline{k}}\rangle_{k_{1},...,k_{n}=-\omega}^{\omega}$ of the standard orthonormal basis of position eigenstates, where $\omega\in\,^{\star}\mathbb{N}$ is some infinite non-standard natural, and we consider the \big{(}(2\omega+1)^{n}\big{)}-dimensional object ${\mathcal{H}_{\,\mathbb{Z}^{n}}}:=(\,^{\star}\operatorname{L}^{2}[\mathbb{Z}^{n}],P_{\mathcal{H}_{\,\mathbb{Z}^{n}}})$ defined by the following truncating projector:

[TABLE]

We take this object to be our model in ${}^{\star}\!\operatorname{Hilb}$ of a quantum particle on an $n$-dimensional lattice, and we refer to the family $|\delta_{\underline{k}}\rangle_{k_{1},...,k_{n}=-\omega}^{+\omega}$ as the position eigenstates for ${\mathcal{H}_{\,\mathbb{Z}^{n}}}$. Pretty much by definition, this object comes with a unital special commutative $\dagger$-Frobenius algebra corresponding to the position observable for the particle:

[TABLE]

The labels of the position eigenstates can be endowed with the infinite abelian group structure of $({\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}},\oplus,\underline{0})$, and we can consider the linear extension of the group multiplication and unit:

[TABLE]

It is immediate to check that these two maps form, together with their adjoints, a unital quasi-special commutative $\dagger$-Frobenius algebra, with normalisation factor $(2\omega+1)^{n}$. Furthermore, a result of Ref. [13] guarantees that (\hbox{ \leavevmode\hbox to5.52pt{\vbox to5.52pt{\pgfpicture\makeatletter\hbox{\hskip 2.7607pt\lower-2.7607pt\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\pgfsys@setlinewidth{0.4pt}\pgfsys@invoke{ }\nullfont\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{{ {\pgfsys@beginscope \pgfsys@setdash{}{0.0pt}\pgfsys@roundcap\pgfsys@roundjoin{} {}{}{} {}{}{} \pgfsys@moveto{-2.07999pt}{2.39998pt}\pgfsys@curveto{-1.69998pt}{0.95998pt}{-0.85318pt}{0.28pt}{0.0pt}{0.0pt}\pgfsys@curveto{-0.85318pt}{-0.28pt}{-1.69998pt}{-0.95998pt}{-2.07999pt}{-2.39998pt}\pgfsys@stroke\pgfsys@endscope}} } {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-181.38011pt}{0.40538pt}\pgfsys@curveto{-181.11555pt}{9.0722pt}{-172.37865pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-181.38634pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{53.34892pt}{-14.22638pt}\pgfsys@curveto{62.2602pt}{-14.22638pt}{71.1319pt}{-8.91127pt}{71.1319pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{53.34892pt}{14.22638pt}\pgfsys@curveto{62.12419pt}{14.22636pt}{70.86113pt}{9.0722pt}{71.1257pt}{0.40538pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{71.1319pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-181.38634pt}{0.0pt}\pgfsys@curveto{-181.38634pt}{-8.91127pt}{-172.51463pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-177.82414pt}{0.40282pt}\pgfsys@curveto{-177.61205pt}{8.09265pt}{-171.34596pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-177.82974pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{-163.60336pt}{-14.22638pt}\pgfsys@curveto{-155.86075pt}{-14.22636pt}{-149.59459pt}{-8.09265pt}{-149.38249pt}{-0.40282pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{1.0}{-1.0}{0.0}{-149.37698pt}{-0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-163.60336pt}{14.22638pt}\pgfsys@curveto{-155.72601pt}{14.22638pt}{-149.37698pt}{7.87735pt}{-149.37698pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@curveto{-177.82974pt}{-7.87735pt}{-171.48071pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-181.38634pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-116.83374pt}{-9.03459pt}{62.95093pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-116.54921pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{71.1319pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-147.54158pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{87.19368pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{120.12369pt}{-9.03459pt}{58.50659pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{120.40822pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-100.14684pt}{-9.03459pt}{86.48264pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-99.8623pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-149.37698pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-131.92632pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{10.33748pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{37.42444pt}{-3.75674pt}{24.73578pt}{7.51349pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{37.70897pt}{-3.47221pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\dim{\mathcal{H}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{165.75395pt}{-9.03459pt}{81.0571pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.03848pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.68272pt}{-9.03459pt}{130.45993pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-93.3982pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-90.17656pt}{-9.03459pt}{151.90036pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-89.89203pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{166.66019pt}{-9.03459pt}{79.24463pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.94472pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.18619pt}{-9.03459pt}{129.46686pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-92.90166pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.33131pt}{-5.28453pt}{17.90237pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.61584pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\delta_{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-88.56894pt}{-9.03459pt}{148.68512pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-88.28441pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }{{}}{{}} \par \par\par{{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{2.5607pt}{0.0pt}\pgfsys@curveto{2.5607pt}{1.41425pt}{1.41425pt}{2.5607pt}{0.0pt}{2.5607pt}\pgfsys@curveto{-1.41425pt}{2.5607pt}{-2.5607pt}{1.41425pt}{-2.5607pt}{0.0pt}\pgfsys@curveto{-2.5607pt}{-1.41425pt}{-1.41425pt}{-2.5607pt}{0.0pt}{-2.5607pt}\pgfsys@curveto{1.41425pt}{-2.5607pt}{2.5607pt}{-1.41425pt}{2.5607pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{0.0pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.59999}{0.0}{0.0}{0.59999}{0.0pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \par \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope{}{}{}\hss}\pgfsys@discardpath\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hss}}\lxSVG@closescope\endpgfpicture}} }\!\!,\hbox{ \leavevmode\hbox to5.52pt{\vbox to5.52pt{\pgfpicture\makeatletter\hbox{\hskip 2.7607pt\lower-2.7607pt\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\pgfsys@setlinewidth{0.4pt}\pgfsys@invoke{ }\nullfont\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{{ {\pgfsys@beginscope \pgfsys@setdash{}{0.0pt}\pgfsys@roundcap\pgfsys@roundjoin{} {}{}{} {}{}{} \pgfsys@moveto{-2.07999pt}{2.39998pt}\pgfsys@curveto{-1.69998pt}{0.95998pt}{-0.85318pt}{0.28pt}{0.0pt}{0.0pt}\pgfsys@curveto{-0.85318pt}{-0.28pt}{-1.69998pt}{-0.95998pt}{-2.07999pt}{-2.39998pt}\pgfsys@stroke\pgfsys@endscope}} } {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-181.38011pt}{0.40538pt}\pgfsys@curveto{-181.11555pt}{9.0722pt}{-172.37865pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-181.38634pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{53.34892pt}{-14.22638pt}\pgfsys@curveto{62.2602pt}{-14.22638pt}{71.1319pt}{-8.91127pt}{71.1319pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{53.34892pt}{14.22638pt}\pgfsys@curveto{62.12419pt}{14.22636pt}{70.86113pt}{9.0722pt}{71.1257pt}{0.40538pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{71.1319pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-181.38634pt}{0.0pt}\pgfsys@curveto{-181.38634pt}{-8.91127pt}{-172.51463pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-177.82414pt}{0.40282pt}\pgfsys@curveto{-177.61205pt}{8.09265pt}{-171.34596pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-177.82974pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{-163.60336pt}{-14.22638pt}\pgfsys@curveto{-155.86075pt}{-14.22636pt}{-149.59459pt}{-8.09265pt}{-149.38249pt}{-0.40282pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{1.0}{-1.0}{0.0}{-149.37698pt}{-0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-163.60336pt}{14.22638pt}\pgfsys@curveto{-155.72601pt}{14.22638pt}{-149.37698pt}{7.87735pt}{-149.37698pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@curveto{-177.82974pt}{-7.87735pt}{-171.48071pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-181.38634pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-116.83374pt}{-9.03459pt}{62.95093pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-116.54921pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{71.1319pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-147.54158pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{87.19368pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{120.12369pt}{-9.03459pt}{58.50659pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{120.40822pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-100.14684pt}{-9.03459pt}{86.48264pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-99.8623pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-149.37698pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-131.92632pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{10.33748pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{37.42444pt}{-3.75674pt}{24.73578pt}{7.51349pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{37.70897pt}{-3.47221pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\dim{\mathcal{H}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{165.75395pt}{-9.03459pt}{81.0571pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.03848pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.68272pt}{-9.03459pt}{130.45993pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-93.3982pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-90.17656pt}{-9.03459pt}{151.90036pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-89.89203pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{166.66019pt}{-9.03459pt}{79.24463pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.94472pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.18619pt}{-9.03459pt}{129.46686pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-92.90166pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.33131pt}{-5.28453pt}{17.90237pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.61584pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\delta_{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-88.56894pt}{-9.03459pt}{148.68512pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-88.28441pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }{{}}{{}} \par \par\par{{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{2.5607pt}{0.0pt}\pgfsys@curveto{2.5607pt}{1.41425pt}{1.41425pt}{2.5607pt}{0.0pt}{2.5607pt}\pgfsys@curveto{-1.41425pt}{2.5607pt}{-2.5607pt}{1.41425pt}{-2.5607pt}{0.0pt}\pgfsys@curveto{-2.5607pt}{-1.41425pt}{-1.41425pt}{-2.5607pt}{0.0pt}{-2.5607pt}\pgfsys@curveto{1.41425pt}{-2.5607pt}{2.5607pt}{-1.41425pt}{2.5607pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{0.0pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.59999}{0.0}{0.0}{0.59999}{0.0pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \par \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope{}{}{}\hss}\pgfsys@discardpath\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hss}}\lxSVG@closescope\endpgfpicture}} }\!\!) is a strongly complementary pair of unital $\dagger$-Frobenius algebras.

The infinite abelian group $({\,{}^{\star}\mathbb{Z}_{2\omega+1}},\oplus,0)$ is defined in full detail in the Appendix, and has the interval of non-standard integers $\{-\omega,...,+\omega\}$ as its underlying set. Remarkably, it contains the standard integers $\mathbb{Z}$ as a subgroup: as a consequence, the group $({\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}},\oplus,\underline{0})$ is a legitimate non-standard extension of the translation group $\mathbb{Z}^{n}$ for the $n$-dimensional lattice. In a sense, we are seeing standard infinite lattices are actually being periodic, but circling around “beyond standard infinity” rather than at some finite point.

A proof on the same lines of the one mentioned in the previous section shows that the following momentum eigenstates |\raisebox{2.0pt}{\chi}_{\underline{x}}\rangle, indexed by $\underline{x}\in\frac{1}{2\omega+1}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$, are the
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|$$:=$$|\delta_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|

-classical states (they are orthogonal and have square norm $(2\omega+1)^{n}$):

[TABLE]

From their formulation, it is immediately clear that these are exactly the plane waves, and as a consequence we can legitimately refer to
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|$$:=$$|\delta_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|

as the momentum observable for the particle on the lattice. Similarly to the previous Section, we have a nice duality between the large-scale cut-off on positions in $\,{}^{\star}\mathbb{Z}^{n}$ (which are bounded in magnitude by $\sqrt{n}\omega$) and the small-scale cut-off on momenta in $\,{}^{\star}\mathbb{T}^{n}$ (which are discretised onto a lattice of infinitesimal mesh $\frac{\hbar}{2\omega+1}$).

5 Particles in real space

Consider a quantum particle in $n$-dimensional real space, corresponding to the Hilbert space $\operatorname{L}^{2}[\mathbb{R}^{n}]$. This is a separable space, but for obvious reasons it does not come with a choice of complete countable orthonormal basis of standard states which is invariant under the translation group $\mathbb{R}^{n}$ of the underlying space. However, we can try and approximate one using a subdivision of $\mathbb{R}^{n}$ with infinitesimal mesh, as done in Ref. [24] to model Riemann integration (as well as differentiation and a number of other fundamental constructions of calculus).

We fix two infinite natural numbers: an infrared (IR) infinity $\omega_{ir}$, which will govern the large scale limit of our approximation, and a ultraviolet (UV) infinity $\omega_{uv}$, which will govern the small scale limit. We require both to be odd, and we set $2\omega+1:=\omega_{uv}\omega_{ir}$. Consider the following internal lattice—isomorphic to ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$, of which it inherits the group structure—in $n$-dim non-standard real space $\,{}^{\star}\mathbb{R}^{n}$:

[TABLE]

Note that the group $\mathbb{R}^{n}$ is not a subgroup of $\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$, as the elements of the latter are non-standard rational numbers. However the former can be approximated by the latter in the following rigorous sense: there is a subgroup \big{(}\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}\big{)}_{0}\triangleleft\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}} given by taking the near standard elements, and taking a quotient of this subgroup through the standard part function yields $\mathbb{R}^{n}$ as the quotient group (see Appendix). We can interpret the group $\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ as a lattice with infinitesimally fine mesh (specified by $\frac{1}{\omega_{uv}}$) which approximates $\mathbb{R}^{n}$, which covers it entirely, and which circles around “beyond standard infinity” (at a point specified by $\omega_{ir}$). Having seen this, we consider the following orthonormal family of non-standard functions $\,{}^{\star}\mathbb{R}^{n}\rightarrow\,^{\star}\mathbb{C}$, indexed by the points $\underline{p}\in\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ of the lattice which we introduced above::

[TABLE]

Just like the family of momentum eigenstates defined in Section 3, this family is orthonormal, and hence we can take it to define a \big{(}(2\omega+1)^{n}\big{)}-dimensional object ${\mathcal{H}_{\,\mathbb{R}^{n}}}:=(\,^{\star}\operatorname{L}^{2}[\mathbb{R}^{n}],P_{\mathcal{H}_{\,\mathbb{R}^{n}}})$ of ${}^{\star}\!\operatorname{Hilb}$, by considering the following truncating projector:

[TABLE]

The shorthand notation $\sum_{p=-\omega_{ir}}^{\omega_{ir}}f(p):\equiv\sum_{k=-\omega}^{\omega}f(k/\omega_{uv})$ adopted above for summation over elements of $\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ will be used through the rest of this work. We take this object to be our model in ${}^{\star}\!\operatorname{Hilb}$ of an unbounded quantum particle in an $n$-dimensional real space, and we refer to the family |\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle_{p_{1},...,p_{n}=-\omega_{ir}}^{+\omega_{ir}} as the momentum eigenstates for ${\mathcal{H}_{\,\mathbb{R}^{n}}}$. Pretty much by definition, this object comes with a unital special commutative $\dagger$-Frobenius algebra corresponding to the momentum observable for the unbounded particle:

[TABLE]

The labels of the momentum eigenstates come endowed with the infinite abelian group structure of $(\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}},\oplus,\underline{0})$, and we can consider the linear extension of the group multiplication and unit:

[TABLE]

It is immediate to check that these two maps form, together with their adjoints, a unital quasi-special commutative $\dagger$-Frobenius algebra, with normalisation factor $(2\omega+1)^{n}$. Furthermore, a result of Ref. [13] guarantees that (\hbox{ \leavevmode\hbox to5.52pt{\vbox to5.52pt{\pgfpicture\makeatletter\hbox{\hskip 2.7607pt\lower-2.7607pt\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\pgfsys@setlinewidth{0.4pt}\pgfsys@invoke{ }\nullfont\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{{ {\pgfsys@beginscope \pgfsys@setdash{}{0.0pt}\pgfsys@roundcap\pgfsys@roundjoin{} {}{}{} {}{}{} \pgfsys@moveto{-2.07999pt}{2.39998pt}\pgfsys@curveto{-1.69998pt}{0.95998pt}{-0.85318pt}{0.28pt}{0.0pt}{0.0pt}\pgfsys@curveto{-0.85318pt}{-0.28pt}{-1.69998pt}{-0.95998pt}{-2.07999pt}{-2.39998pt}\pgfsys@stroke\pgfsys@endscope}} } {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-181.38011pt}{0.40538pt}\pgfsys@curveto{-181.11555pt}{9.0722pt}{-172.37865pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-181.38634pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{53.34892pt}{-14.22638pt}\pgfsys@curveto{62.2602pt}{-14.22638pt}{71.1319pt}{-8.91127pt}{71.1319pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{53.34892pt}{14.22638pt}\pgfsys@curveto{62.12419pt}{14.22636pt}{70.86113pt}{9.0722pt}{71.1257pt}{0.40538pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{71.1319pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-181.38634pt}{0.0pt}\pgfsys@curveto{-181.38634pt}{-8.91127pt}{-172.51463pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-177.82414pt}{0.40282pt}\pgfsys@curveto{-177.61205pt}{8.09265pt}{-171.34596pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-177.82974pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{-163.60336pt}{-14.22638pt}\pgfsys@curveto{-155.86075pt}{-14.22636pt}{-149.59459pt}{-8.09265pt}{-149.38249pt}{-0.40282pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{1.0}{-1.0}{0.0}{-149.37698pt}{-0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-163.60336pt}{14.22638pt}\pgfsys@curveto{-155.72601pt}{14.22638pt}{-149.37698pt}{7.87735pt}{-149.37698pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@curveto{-177.82974pt}{-7.87735pt}{-171.48071pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-181.38634pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-116.83374pt}{-9.03459pt}{62.95093pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-116.54921pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{71.1319pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-147.54158pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{87.19368pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{120.12369pt}{-9.03459pt}{58.50659pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{120.40822pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-100.14684pt}{-9.03459pt}{86.48264pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-99.8623pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-149.37698pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-131.92632pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{10.33748pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{37.42444pt}{-3.75674pt}{24.73578pt}{7.51349pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{37.70897pt}{-3.47221pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\dim{\mathcal{H}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{165.75395pt}{-9.03459pt}{81.0571pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.03848pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.68272pt}{-9.03459pt}{130.45993pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-93.3982pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-90.17656pt}{-9.03459pt}{151.90036pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-89.89203pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{166.66019pt}{-9.03459pt}{79.24463pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.94472pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.18619pt}{-9.03459pt}{129.46686pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-92.90166pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.33131pt}{-5.28453pt}{17.90237pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.61584pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\delta_{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-88.56894pt}{-9.03459pt}{148.68512pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-88.28441pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{163.39307pt}{-9.03459pt}{85.77887pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{163.6776pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-96.04361pt}{-9.03459pt}{135.1817pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-95.75908pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{$\chi$}{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-92.01176pt}{-9.03459pt}{155.57077pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-91.72723pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{$\chi$}{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{q}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }{{}}{{}} \par \par\par{{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{2.5607pt}{0.0pt}\pgfsys@curveto{2.5607pt}{1.41425pt}{1.41425pt}{2.5607pt}{0.0pt}{2.5607pt}\pgfsys@curveto{-1.41425pt}{2.5607pt}{-2.5607pt}{1.41425pt}{-2.5607pt}{0.0pt}\pgfsys@curveto{-2.5607pt}{-1.41425pt}{-1.41425pt}{-2.5607pt}{0.0pt}{-2.5607pt}\pgfsys@curveto{1.41425pt}{-2.5607pt}{2.5607pt}{-1.41425pt}{2.5607pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{0.0pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.59999}{0.0}{0.0}{0.59999}{0.0pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \par \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope{}{}{}\hss}\pgfsys@discardpath\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hss}}\lxSVG@closescope\endpgfpicture}} }\!\!,\hbox{ \leavevmode\hbox to5.52pt{\vbox to5.52pt{\pgfpicture\makeatletter\hbox{\hskip 2.7607pt\lower-2.7607pt\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\pgfsys@setlinewidth{0.4pt}\pgfsys@invoke{ }\nullfont\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{{ {\pgfsys@beginscope \pgfsys@setdash{}{0.0pt}\pgfsys@roundcap\pgfsys@roundjoin{} {}{}{} {}{}{} \pgfsys@moveto{-2.07999pt}{2.39998pt}\pgfsys@curveto{-1.69998pt}{0.95998pt}{-0.85318pt}{0.28pt}{0.0pt}{0.0pt}\pgfsys@curveto{-0.85318pt}{-0.28pt}{-1.69998pt}{-0.95998pt}{-2.07999pt}{-2.39998pt}\pgfsys@stroke\pgfsys@endscope}} } {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-181.38011pt}{0.40538pt}\pgfsys@curveto{-181.11555pt}{9.0722pt}{-172.37865pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-181.38634pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{53.34892pt}{-14.22638pt}\pgfsys@curveto{62.2602pt}{-14.22638pt}{71.1319pt}{-8.91127pt}{71.1319pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{53.34892pt}{14.22638pt}\pgfsys@curveto{62.12419pt}{14.22636pt}{70.86113pt}{9.0722pt}{71.1257pt}{0.40538pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{71.1319pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-181.38634pt}{0.0pt}\pgfsys@curveto{-181.38634pt}{-8.91127pt}{-172.51463pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-177.82414pt}{0.40282pt}\pgfsys@curveto{-177.61205pt}{8.09265pt}{-171.34596pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-177.82974pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{-163.60336pt}{-14.22638pt}\pgfsys@curveto{-155.86075pt}{-14.22636pt}{-149.59459pt}{-8.09265pt}{-149.38249pt}{-0.40282pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{1.0}{-1.0}{0.0}{-149.37698pt}{-0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-163.60336pt}{14.22638pt}\pgfsys@curveto{-155.72601pt}{14.22638pt}{-149.37698pt}{7.87735pt}{-149.37698pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@curveto{-177.82974pt}{-7.87735pt}{-171.48071pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-181.38634pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-116.83374pt}{-9.03459pt}{62.95093pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-116.54921pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{71.1319pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-147.54158pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{87.19368pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{120.12369pt}{-9.03459pt}{58.50659pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{120.40822pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-100.14684pt}{-9.03459pt}{86.48264pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-99.8623pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-149.37698pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-131.92632pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{10.33748pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{37.42444pt}{-3.75674pt}{24.73578pt}{7.51349pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{37.70897pt}{-3.47221pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\dim{\mathcal{H}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{165.75395pt}{-9.03459pt}{81.0571pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.03848pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.68272pt}{-9.03459pt}{130.45993pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-93.3982pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-90.17656pt}{-9.03459pt}{151.90036pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-89.89203pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{166.66019pt}{-9.03459pt}{79.24463pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.94472pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.18619pt}{-9.03459pt}{129.46686pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-92.90166pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.33131pt}{-5.28453pt}{17.90237pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.61584pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\delta_{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-88.56894pt}{-9.03459pt}{148.68512pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-88.28441pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{163.39307pt}{-9.03459pt}{85.77887pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{163.6776pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-96.04361pt}{-9.03459pt}{135.1817pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-95.75908pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{$\chi$}{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-92.01176pt}{-9.03459pt}{155.57077pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-91.72723pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{$\chi$}{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|\otimes\langle\raisebox{2.0pt}{$\chi$}_{\underline{q}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }{{}}{{}} \par \par\par{{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{2.5607pt}{0.0pt}\pgfsys@curveto{2.5607pt}{1.41425pt}{1.41425pt}{2.5607pt}{0.0pt}{2.5607pt}\pgfsys@curveto{-1.41425pt}{2.5607pt}{-2.5607pt}{1.41425pt}{-2.5607pt}{0.0pt}\pgfsys@curveto{-2.5607pt}{-1.41425pt}{-1.41425pt}{-2.5607pt}{0.0pt}{-2.5607pt}\pgfsys@curveto{1.41425pt}{-2.5607pt}{2.5607pt}{-1.41425pt}{2.5607pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{0.0pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.59999}{0.0}{0.0}{0.59999}{0.0pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \par \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope{}{}{}\hss}\pgfsys@discardpath\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hss}}\lxSVG@closescope\endpgfpicture}} }\!\!) is a strongly complementary pair of unital $\dagger$-Frobenius algebras.

The same proof from Section 3 can be adapted to show that the following position eigenstates, indexed by $\underline{x}\in\frac{1}{\omega_{ir}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$, are the
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|$$:=$$|\delta_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{q}}|

-classical states (orthogonal and with square norm $(2\omega+1)^{n}$):

[TABLE]

Note once again the nice duality between the cut-offs of the momenta (which have magnitude bounded above by $\sqrt{n}\omega_{ir}\hbar$ and are discretised onto a lattice of infinitesimal mesh $\frac{\hbar}{\omega_{uv}}$) and the cut-offs of the positions (which have magnitude bounded above by $\sqrt{n}\omega_{uv}$ and are discretised onto a lattice of infinitesimal mesh $\frac{1}{\omega_{ir}}$). For all $\underline{x}\in\frac{1}{\omega_{ir}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ and all standard smooth $f\in\operatorname{L}^{2}[\mathbb{R}^{n}]$, the position eigenstates can easily be shown to satisfy the identity $\operatorname{st}(\langle\delta_{\underline{x}}|f\rangle)=f(\operatorname{st}(\underline{x}))$: hence, the position eigenstates (as we defined them) behave exactly as expected from Dirac delta functions, and we can legitimately refer to
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|$$:=$$|\delta_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{q}}|

as the position observable for the unbounded particle. Furthermore, standard smooth functions span the entirety of $\operatorname{L}^{2}[\mathbb{R}^{n}]$, and hence the delta functions defined above show that the subspace defined by the truncating projector $P_{\mathcal{H}_{\,\mathbb{R}^{n}}}$ spans the near-standard vectors in $\,{}^{\star}\operatorname{L}^{2}[\mathbb{R}^{n}]$.

Weyl CCRs using diagrams in ${}^{\star}\!\operatorname{Hilb}$.

As a sample application of our non-standard framework, we provide a diagrammatic proof of the Weyl Canonical Commutation Relations, using the ${}^{\star}\!\operatorname{Hilb}$ object ${\mathcal{H}_{\,\mathbb{R}^{n}}}$ which we have just constructed. For all $\underline{x}\in\mathbb{R}^{n}$, let $U_{\underline{x}}$ be the unitary on $\operatorname{L}^{2}[\mathbb{R}^{n}]$ corresponding to space-translation of wavefunctions by $\underline{x}$. For all $\underline{p}\in\mathbb{R}^{n}$, let $V_{\underline{p}}$ be the unitary corresponding to momentum-boost by $\underline{p}\hbar$. Let $\underline{x}^{\prime}\in\frac{1}{\omega_{ir}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ and $\underline{p}^{\prime}\in\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ be such that $\operatorname{st}(\underline{x}^{\prime})=\underline{x}$ and $\operatorname{st}(\underline{p}^{\prime})=\underline{p}$. The unitaries $U_{\underline{x}}$ and $V_{\underline{p}}$ can be expressed diagrammatically as follows (because
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|$$:=$$|\delta_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{q}}|

acts as space-translation on delta functions, and
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|$$:=$$|\delta_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{q}}|

acts as momentum-boost on plane-waves):

[TABLE]

We can then deduce the Weyl Canonical Commutation relations for the position and momentum observables of a quantum particle in $n$-dimensional real space:

[TABLE]

The proof of the central equality can be carried out fully diagrammatically in the non-standard framework, using strong complementarity for (\hbox{ \leavevmode\hbox to5.52pt{\vbox to5.52pt{\pgfpicture\makeatletter\hbox{\hskip 2.7607pt\lower-2.7607pt\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\pgfsys@setlinewidth{0.4pt}\pgfsys@invoke{ }\nullfont\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{{ {\pgfsys@beginscope \pgfsys@setdash{}{0.0pt}\pgfsys@roundcap\pgfsys@roundjoin{} {}{}{} {}{}{} \pgfsys@moveto{-2.07999pt}{2.39998pt}\pgfsys@curveto{-1.69998pt}{0.95998pt}{-0.85318pt}{0.28pt}{0.0pt}{0.0pt}\pgfsys@curveto{-0.85318pt}{-0.28pt}{-1.69998pt}{-0.95998pt}{-2.07999pt}{-2.39998pt}\pgfsys@stroke\pgfsys@endscope}} } {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-181.38011pt}{0.40538pt}\pgfsys@curveto{-181.11555pt}{9.0722pt}{-172.37865pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-181.38634pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{53.34892pt}{-14.22638pt}\pgfsys@curveto{62.2602pt}{-14.22638pt}{71.1319pt}{-8.91127pt}{71.1319pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{53.34892pt}{14.22638pt}\pgfsys@curveto{62.12419pt}{14.22636pt}{70.86113pt}{9.0722pt}{71.1257pt}{0.40538pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{71.1319pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-181.38634pt}{0.0pt}\pgfsys@curveto{-181.38634pt}{-8.91127pt}{-172.51463pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-177.82414pt}{0.40282pt}\pgfsys@curveto{-177.61205pt}{8.09265pt}{-171.34596pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-177.82974pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{-163.60336pt}{-14.22638pt}\pgfsys@curveto{-155.86075pt}{-14.22636pt}{-149.59459pt}{-8.09265pt}{-149.38249pt}{-0.40282pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{1.0}{-1.0}{0.0}{-149.37698pt}{-0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-163.60336pt}{14.22638pt}\pgfsys@curveto{-155.72601pt}{14.22638pt}{-149.37698pt}{7.87735pt}{-149.37698pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@curveto{-177.82974pt}{-7.87735pt}{-171.48071pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-124.50441pt}{3.5566pt}\pgfsys@curveto{-110.41576pt}{3.5566pt}{-98.47974pt}{16.67805pt}{-88.51756pt}{6.71588pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-97.96202pt}{-7.11319pt}\pgfsys@curveto{-93.25285pt}{-7.11319pt}{-91.84744pt}{-2.93257pt}{-88.51756pt}{0.39731pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{{}{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{{}{}}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{{}}{ {}{}}{}{}{{}{}}}}}{}{}{}{}}{}\pgfsys@moveto{-85.35828pt}{3.5566pt}\pgfsys@curveto{-77.02957pt}{3.5566pt}{-65.21062pt}{3.5566pt}{-56.88193pt}{3.5566pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-53.34892pt}{14.22638pt}\pgfsys@curveto{-45.0271pt}{14.22638pt}{-45.0271pt}{-14.22638pt}{-53.34892pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-128.03741pt}{14.22638pt}\pgfsys@curveto{-136.35922pt}{14.22638pt}{-136.35922pt}{-14.22638pt}{-128.03741pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{120.90063pt}{3.5566pt}\pgfsys@curveto{134.98927pt}{3.5566pt}{146.9253pt}{16.67805pt}{156.88748pt}{6.71588pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{164.51468pt}{3.5566pt}\pgfsys@lineto{184.96652pt}{3.5566pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{147.44302pt}{-7.11319pt}\pgfsys@curveto{152.15219pt}{-7.11319pt}{153.55759pt}{-2.93257pt}{156.88748pt}{0.39731pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{188.49953pt}{14.22638pt}\pgfsys@curveto{196.82133pt}{14.22638pt}{196.82133pt}{-14.22638pt}{188.49953pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{117.36763pt}{14.22638pt}\pgfsys@curveto{109.0458pt}{14.22638pt}{109.0458pt}{-14.22638pt}{117.36763pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-163.62695pt}{0.0pt}\pgfsys@curveto{-149.5383pt}{0.0pt}{-137.60228pt}{13.12146pt}{-127.6401pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-137.08456pt}{-14.22638pt}\pgfsys@curveto{-131.39651pt}{-14.22638pt}{-131.66216pt}{-7.18134pt}{-127.6401pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-124.48082pt}{0.0pt}\pgfsys@curveto{-109.00903pt}{0.0pt}{-95.90117pt}{14.09949pt}{-84.96097pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{-77.33377pt}{0.0pt}\pgfsys@lineto{-56.88193pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-94.40543pt}{-14.22638pt}\pgfsys@curveto{-88.71738pt}{-14.22638pt}{-88.98302pt}{-7.18134pt}{-84.96097pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{96.00447pt}{0.0pt}\pgfsys@curveto{110.09311pt}{0.0pt}{122.02913pt}{13.12146pt}{131.99132pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{122.54686pt}{-14.22638pt}\pgfsys@curveto{128.2349pt}{-14.22638pt}{127.96925pt}{-7.18134pt}{131.99132pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{135.1506pt}{0.0pt}\pgfsys@curveto{150.62238pt}{0.0pt}{163.73024pt}{14.09949pt}{174.67046pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{165.226pt}{-14.22638pt}\pgfsys@curveto{170.91403pt}{-14.22638pt}{170.64839pt}{-7.18134pt}{174.67046pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{182.29765pt}{0.0pt}\pgfsys@lineto{202.7495pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{}{}{}\pgfsys@moveto{44.30177pt}{0.0pt}\pgfsys@lineto{62.39607pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-53.34892pt}{21.33957pt}\pgfsys@curveto{-40.8662pt}{21.33957pt}{-40.8662pt}{-21.33957pt}{-53.34892pt}{-21.33957pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{28.45276pt}{21.33957pt}\pgfsys@curveto{15.97003pt}{21.33957pt}{15.97003pt}{-21.33957pt}{28.45276pt}{-21.33957pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-167.15996pt}{21.33957pt}\pgfsys@curveto{-179.64268pt}{21.33957pt}{-179.64268pt}{-21.33957pt}{-167.15996pt}{-21.33957pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{206.2825pt}{21.33957pt}\pgfsys@curveto{218.76523pt}{21.33957pt}{218.76523pt}{-21.33957pt}{206.2825pt}{-21.33957pt}\pgfsys@stroke\pgfsys@invoke{ } \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-181.38634pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-116.83374pt}{-9.03459pt}{62.95093pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-116.54921pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{71.1319pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-147.54158pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{87.19368pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{120.12369pt}{-9.03459pt}{58.50659pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{120.40822pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-100.14684pt}{-9.03459pt}{86.48264pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-99.8623pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-149.37698pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-131.92632pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{10.33748pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{37.42444pt}{-3.75674pt}{24.73578pt}{7.51349pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{37.70897pt}{-3.47221pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\dim{\mathcal{H}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{165.75395pt}{-9.03459pt}{81.0571pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.03848pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.68272pt}{-9.03459pt}{130.45993pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-93.3982pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-90.17656pt}{-9.03459pt}{151.90036pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-89.89203pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{166.66019pt}{-9.03459pt}{79.24463pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.94472pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.18619pt}{-9.03459pt}{129.46686pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-92.90166pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.33131pt}{-5.28453pt}{17.90237pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.61584pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\delta_{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-88.56894pt}{-9.03459pt}{148.68512pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-88.28441pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{163.39307pt}{-9.03459pt}{85.77887pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{163.6776pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-96.04361pt}{-9.03459pt}{135.1817pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-95.75908pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{$\chi$}{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-92.01176pt}{-9.03459pt}{155.57077pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-91.72723pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{$\chi$}{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{q}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-212.01793pt}{-7.88521pt}{18.58405pt}{15.77042pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-208.68492pt}{-2.28111pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{U{\underline{x}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{33.31834pt}{-7.88521pt}{18.72159pt}{15.77042pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{36.65135pt}{-2.28111pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{V_{\underline{p}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-85.35828pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-115.43367pt}{-7.84901pt}\pgfsys@lineto{-115.43367pt}{-6.37737pt}\pgfsys@curveto{-115.43367pt}{-1.95903pt}{-111.852pt}{1.62263pt}{-107.43367pt}{1.62263pt}\pgfsys@lineto{-97.96202pt}{1.62263pt}\pgfsys@lineto{-97.96202pt}{-15.84901pt}\pgfsys@lineto{-107.43367pt}{-15.84901pt}\pgfsys@curveto{-111.852pt}{-15.84901pt}{-115.43367pt}{-12.26735pt}{-115.43367pt}{-7.84901pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-111.36006pt}{-9.22763pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta_{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-56.68193pt}{0.22359pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-131.37042pt}{0.22359pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-128.03741pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-81.09036pt}{3.5566pt}\pgfsys@curveto{-81.09036pt}{5.91373pt}{-83.00114pt}{7.82451pt}{-85.35828pt}{7.82451pt}\pgfsys@curveto{-87.71541pt}{7.82451pt}{-89.62619pt}{5.91373pt}{-89.62619pt}{3.5566pt}\pgfsys@curveto{-89.62619pt}{1.19946pt}{-87.71541pt}{-0.71132pt}{-85.35828pt}{-0.71132pt}\pgfsys@curveto{-83.00114pt}{-0.71132pt}{-81.09036pt}{1.19946pt}{-81.09036pt}{3.5566pt}\pgfsys@closepath\pgfsys@moveto{-85.35828pt}{3.5566pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-85.35828pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-156.62666pt}{-6.4084pt}{14.49936pt}{12.8168pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-153.29366pt}{-3.0754pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\operatorname{st}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-128.03741pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-128.03741pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-181.49506pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-178.16205pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{114.03462pt}{0.22359pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{188.49953pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{188.49953pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{88.77838pt}{-6.4084pt}{14.49936pt}{12.8168pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.11139pt}{-3.0754pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\operatorname{st}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{185.16652pt}{0.22359pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{188.49953pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{164.31468pt}{3.5566pt}\pgfsys@curveto{164.31468pt}{5.91373pt}{162.4039pt}{7.82451pt}{160.04677pt}{7.82451pt}\pgfsys@curveto{157.68964pt}{7.82451pt}{155.77885pt}{5.91373pt}{155.77885pt}{3.5566pt}\pgfsys@curveto{155.77885pt}{1.19946pt}{157.68964pt}{-0.71132pt}{160.04677pt}{-0.71132pt}\pgfsys@curveto{162.4039pt}{-0.71132pt}{164.31468pt}{1.19946pt}{164.31468pt}{3.5566pt}\pgfsys@closepath\pgfsys@moveto{160.04677pt}{3.5566pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{160.04677pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{63.90999pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{67.243pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{129.97137pt}{-7.84901pt}\pgfsys@lineto{129.97137pt}{-6.37737pt}\pgfsys@curveto{129.97137pt}{-1.95903pt}{133.55304pt}{1.62263pt}{137.97137pt}{1.62263pt}\pgfsys@lineto{147.44302pt}{1.62263pt}\pgfsys@lineto{147.44302pt}{-15.84901pt}\pgfsys@lineto{137.97137pt}{-15.84901pt}\pgfsys@curveto{133.55304pt}{-15.84901pt}{129.97137pt}{-12.26735pt}{129.97137pt}{-7.84901pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{133.13875pt}{-8.90819pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-257.16826pt}{-7.88521pt}{30.63962pt}{15.77042pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-253.83525pt}{-2.28111pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{V{\underline{p}}U_{\underline{x}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{256.75229pt}{-7.88521pt}{55.5506pt}{15.77042pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{260.0853pt}{-2.28111pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{e^{i2\pi\underline{p}\cdot\underline{x}};U_{\underline{x}}V_{\underline{p}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-124.48082pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{105.07521pt}{-14.9622pt}\pgfsys@lineto{105.07521pt}{-13.49055pt}\pgfsys@curveto{105.07521pt}{-9.07222pt}{108.65688pt}{-5.49055pt}{113.07521pt}{-5.49055pt}\pgfsys@lineto{122.54686pt}{-5.49055pt}\pgfsys@lineto{122.54686pt}{-22.9622pt}\pgfsys@lineto{113.07521pt}{-22.9622pt}\pgfsys@curveto{108.65688pt}{-22.9622pt}{105.07521pt}{-19.38054pt}{105.07521pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{108.24258pt}{-16.02138pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-111.87708pt}{-14.9622pt}\pgfsys@lineto{-111.87708pt}{-13.49055pt}\pgfsys@curveto{-111.87708pt}{-9.07222pt}{-108.29541pt}{-5.49055pt}{-103.87708pt}{-5.49055pt}\pgfsys@lineto{-94.40543pt}{-5.49055pt}\pgfsys@lineto{-94.40543pt}{-22.9622pt}\pgfsys@lineto{-103.87708pt}{-22.9622pt}\pgfsys@curveto{-108.29541pt}{-22.9622pt}{-111.87708pt}{-19.38054pt}{-111.87708pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-108.7097pt}{-16.02138pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{89.13846pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-154.55621pt}{-14.9622pt}\pgfsys@lineto{-154.55621pt}{-13.49055pt}\pgfsys@curveto{-154.55621pt}{-9.07222pt}{-150.97455pt}{-5.49055pt}{-146.55621pt}{-5.49055pt}\pgfsys@lineto{-137.08456pt}{-5.49055pt}\pgfsys@lineto{-137.08456pt}{-22.9622pt}\pgfsys@lineto{-146.55621pt}{-22.9622pt}\pgfsys@curveto{-150.97455pt}{-22.9622pt}{-154.55621pt}{-19.38054pt}{-154.55621pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-150.4826pt}{-16.34082pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta_{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{147.75435pt}{-14.9622pt}\pgfsys@lineto{147.75435pt}{-13.49055pt}\pgfsys@curveto{147.75435pt}{-9.07222pt}{151.33601pt}{-5.49055pt}{155.75435pt}{-5.49055pt}\pgfsys@lineto{165.226pt}{-5.49055pt}\pgfsys@lineto{165.226pt}{-22.9622pt}\pgfsys@lineto{155.75435pt}{-22.9622pt}\pgfsys@curveto{151.33601pt}{-22.9622pt}{147.75435pt}{-19.38054pt}{147.75435pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{151.82796pt}{-16.34082pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta_{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-56.68193pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{182.09766pt}{0.0pt}\pgfsys@curveto{182.09766pt}{2.35713pt}{180.18687pt}{4.26791pt}{177.82974pt}{4.26791pt}\pgfsys@curveto{175.47261pt}{4.26791pt}{173.56183pt}{2.35713pt}{173.56183pt}{0.0pt}\pgfsys@curveto{173.56183pt}{-2.35713pt}{175.47261pt}{-4.26791pt}{177.82974pt}{-4.26791pt}\pgfsys@curveto{180.18687pt}{-4.26791pt}{182.09766pt}{-2.35713pt}{182.09766pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{177.82974pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-25.00488pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-21.67188pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{62.39607pt}{-8.73582pt}\pgfsys@lineto{62.39607pt}{8.73582pt}\pgfsys@lineto{71.86772pt}{8.73582pt}\pgfsys@curveto{76.28606pt}{8.73582pt}{79.86772pt}{5.15416pt}{79.86772pt}{0.73582pt}\pgfsys@lineto{79.86772pt}{-0.73582pt}\pgfsys@curveto{79.86772pt}{-5.15416pt}{76.28606pt}{-8.73582pt}{71.86772pt}{-8.73582pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{66.759pt}{-2.76721pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}^{\dagger}{-\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-77.53377pt}{0.0pt}\pgfsys@curveto{-77.53377pt}{2.35713pt}{-79.44455pt}{4.26791pt}{-81.80168pt}{4.26791pt}\pgfsys@curveto{-84.15881pt}{4.26791pt}{-86.0696pt}{2.35713pt}{-86.0696pt}{0.0pt}\pgfsys@curveto{-86.0696pt}{-2.35713pt}{-84.15881pt}{-4.26791pt}{-81.80168pt}{-4.26791pt}\pgfsys@curveto{-79.44455pt}{-4.26791pt}{-77.53377pt}{-2.35713pt}{-77.53377pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-81.80168pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-81.80168pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-170.49297pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-167.15996pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{202.9495pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{206.2825pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{26.83012pt}{-0.73582pt}\pgfsys@lineto{26.83012pt}{0.73582pt}\pgfsys@curveto{26.83012pt}{5.15416pt}{30.41179pt}{8.73582pt}{34.83012pt}{8.73582pt}\pgfsys@lineto{44.30177pt}{8.73582pt}\pgfsys@lineto{44.30177pt}{-8.73582pt}\pgfsys@lineto{34.83012pt}{-8.73582pt}\pgfsys@curveto{30.41179pt}{-8.73582pt}{26.83012pt}{-5.15416pt}{26.83012pt}{-0.73582pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{30.90373pt}{-2.11444pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{139.41852pt}{0.0pt}\pgfsys@curveto{139.41852pt}{2.35713pt}{137.50774pt}{4.26791pt}{135.1506pt}{4.26791pt}\pgfsys@curveto{132.79347pt}{4.26791pt}{130.88269pt}{2.35713pt}{130.88269pt}{0.0pt}\pgfsys@curveto{130.88269pt}{-2.35713pt}{132.79347pt}{-4.26791pt}{135.1506pt}{-4.26791pt}\pgfsys@curveto{137.50774pt}{-4.26791pt}{139.41852pt}{-2.35713pt}{139.41852pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{135.1506pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-120.2129pt}{0.0pt}\pgfsys@curveto{-120.2129pt}{2.35713pt}{-122.12369pt}{4.26791pt}{-124.48082pt}{4.26791pt}\pgfsys@curveto{-126.83795pt}{4.26791pt}{-128.74873pt}{2.35713pt}{-128.74873pt}{0.0pt}\pgfsys@curveto{-128.74873pt}{-2.35713pt}{-126.83795pt}{-4.26791pt}{-124.48082pt}{-4.26791pt}\pgfsys@curveto{-122.12369pt}{-4.26791pt}{-120.2129pt}{-2.35713pt}{-120.2129pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-124.48082pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-124.48082pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{231.06995pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{234.40295pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-195.7492pt}{-6.4084pt}{14.49936pt}{12.8168pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-192.4162pt}{-3.0754pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\operatorname{st}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{-21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{28.45276pt}{-21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{28.45276pt}{21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-167.15996pt}{-21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-167.15996pt}{21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{206.2825pt}{-21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{206.2825pt}{21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-0.13649pt}{-6.4084pt}{14.49936pt}{12.8168pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{3.19652pt}{-3.0754pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\operatorname{st}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-220.6176pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-217.28459pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }{{}}{{}} \par \par\par{{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{2.5607pt}{0.0pt}\pgfsys@curveto{2.5607pt}{1.41425pt}{1.41425pt}{2.5607pt}{0.0pt}{2.5607pt}\pgfsys@curveto{-1.41425pt}{2.5607pt}{-2.5607pt}{1.41425pt}{-2.5607pt}{0.0pt}\pgfsys@curveto{-2.5607pt}{-1.41425pt}{-1.41425pt}{-2.5607pt}{0.0pt}{-2.5607pt}\pgfsys@curveto{1.41425pt}{-2.5607pt}{2.5607pt}{-1.41425pt}{2.5607pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{0.0pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.59999}{0.0}{0.0}{0.59999}{0.0pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \par \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope{}{}{}\hss}\pgfsys@discardpath\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hss}}\lxSVG@closescope\endpgfpicture}} }\!\!,\hbox{ \leavevmode\hbox to5.52pt{\vbox to5.52pt{\pgfpicture\makeatletter\hbox{\hskip 2.7607pt\lower-2.7607pt\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\pgfsys@setlinewidth{0.4pt}\pgfsys@invoke{ }\nullfont\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{{ {\pgfsys@beginscope \pgfsys@setdash{}{0.0pt}\pgfsys@roundcap\pgfsys@roundjoin{} {}{}{} {}{}{} \pgfsys@moveto{-2.07999pt}{2.39998pt}\pgfsys@curveto{-1.69998pt}{0.95998pt}{-0.85318pt}{0.28pt}{0.0pt}{0.0pt}\pgfsys@curveto{-0.85318pt}{-0.28pt}{-1.69998pt}{-0.95998pt}{-2.07999pt}{-2.39998pt}\pgfsys@stroke\pgfsys@endscope}} } {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-181.38011pt}{0.40538pt}\pgfsys@curveto{-181.11555pt}{9.0722pt}{-172.37865pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-181.38634pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{53.34892pt}{-14.22638pt}\pgfsys@curveto{62.2602pt}{-14.22638pt}{71.1319pt}{-8.91127pt}{71.1319pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{53.34892pt}{14.22638pt}\pgfsys@curveto{62.12419pt}{14.22636pt}{70.86113pt}{9.0722pt}{71.1257pt}{0.40538pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{71.1319pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-181.38634pt}{0.0pt}\pgfsys@curveto{-181.38634pt}{-8.91127pt}{-172.51463pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-177.82414pt}{0.40282pt}\pgfsys@curveto{-177.61205pt}{8.09265pt}{-171.34596pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-177.82974pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{-163.60336pt}{-14.22638pt}\pgfsys@curveto{-155.86075pt}{-14.22636pt}{-149.59459pt}{-8.09265pt}{-149.38249pt}{-0.40282pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{1.0}{-1.0}{0.0}{-149.37698pt}{-0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-163.60336pt}{14.22638pt}\pgfsys@curveto{-155.72601pt}{14.22638pt}{-149.37698pt}{7.87735pt}{-149.37698pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@curveto{-177.82974pt}{-7.87735pt}{-171.48071pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-124.50441pt}{3.5566pt}\pgfsys@curveto{-110.41576pt}{3.5566pt}{-98.47974pt}{16.67805pt}{-88.51756pt}{6.71588pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-97.96202pt}{-7.11319pt}\pgfsys@curveto{-93.25285pt}{-7.11319pt}{-91.84744pt}{-2.93257pt}{-88.51756pt}{0.39731pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{{}{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{{}{}}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{{}}{ {}{}}{}{}{{}{}}}}}{}{}{}{}}{}\pgfsys@moveto{-85.35828pt}{3.5566pt}\pgfsys@curveto{-77.02957pt}{3.5566pt}{-65.21062pt}{3.5566pt}{-56.88193pt}{3.5566pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-53.34892pt}{14.22638pt}\pgfsys@curveto{-45.0271pt}{14.22638pt}{-45.0271pt}{-14.22638pt}{-53.34892pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-128.03741pt}{14.22638pt}\pgfsys@curveto{-136.35922pt}{14.22638pt}{-136.35922pt}{-14.22638pt}{-128.03741pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{120.90063pt}{3.5566pt}\pgfsys@curveto{134.98927pt}{3.5566pt}{146.9253pt}{16.67805pt}{156.88748pt}{6.71588pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{164.51468pt}{3.5566pt}\pgfsys@lineto{184.96652pt}{3.5566pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{147.44302pt}{-7.11319pt}\pgfsys@curveto{152.15219pt}{-7.11319pt}{153.55759pt}{-2.93257pt}{156.88748pt}{0.39731pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{188.49953pt}{14.22638pt}\pgfsys@curveto{196.82133pt}{14.22638pt}{196.82133pt}{-14.22638pt}{188.49953pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{117.36763pt}{14.22638pt}\pgfsys@curveto{109.0458pt}{14.22638pt}{109.0458pt}{-14.22638pt}{117.36763pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-163.62695pt}{0.0pt}\pgfsys@curveto{-149.5383pt}{0.0pt}{-137.60228pt}{13.12146pt}{-127.6401pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-137.08456pt}{-14.22638pt}\pgfsys@curveto{-131.39651pt}{-14.22638pt}{-131.66216pt}{-7.18134pt}{-127.6401pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-124.48082pt}{0.0pt}\pgfsys@curveto{-109.00903pt}{0.0pt}{-95.90117pt}{14.09949pt}{-84.96097pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{-77.33377pt}{0.0pt}\pgfsys@lineto{-56.88193pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-94.40543pt}{-14.22638pt}\pgfsys@curveto{-88.71738pt}{-14.22638pt}{-88.98302pt}{-7.18134pt}{-84.96097pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{96.00447pt}{0.0pt}\pgfsys@curveto{110.09311pt}{0.0pt}{122.02913pt}{13.12146pt}{131.99132pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{122.54686pt}{-14.22638pt}\pgfsys@curveto{128.2349pt}{-14.22638pt}{127.96925pt}{-7.18134pt}{131.99132pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{135.1506pt}{0.0pt}\pgfsys@curveto{150.62238pt}{0.0pt}{163.73024pt}{14.09949pt}{174.67046pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{165.226pt}{-14.22638pt}\pgfsys@curveto{170.91403pt}{-14.22638pt}{170.64839pt}{-7.18134pt}{174.67046pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{182.29765pt}{0.0pt}\pgfsys@lineto{202.7495pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{}{}{}\pgfsys@moveto{44.30177pt}{0.0pt}\pgfsys@lineto{62.39607pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-53.34892pt}{21.33957pt}\pgfsys@curveto{-40.8662pt}{21.33957pt}{-40.8662pt}{-21.33957pt}{-53.34892pt}{-21.33957pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{28.45276pt}{21.33957pt}\pgfsys@curveto{15.97003pt}{21.33957pt}{15.97003pt}{-21.33957pt}{28.45276pt}{-21.33957pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-167.15996pt}{21.33957pt}\pgfsys@curveto{-179.64268pt}{21.33957pt}{-179.64268pt}{-21.33957pt}{-167.15996pt}{-21.33957pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{206.2825pt}{21.33957pt}\pgfsys@curveto{218.76523pt}{21.33957pt}{218.76523pt}{-21.33957pt}{206.2825pt}{-21.33957pt}\pgfsys@stroke\pgfsys@invoke{ } \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-181.38634pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-116.83374pt}{-9.03459pt}{62.95093pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-116.54921pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{71.1319pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-147.54158pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{87.19368pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{120.12369pt}{-9.03459pt}{58.50659pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{120.40822pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-100.14684pt}{-9.03459pt}{86.48264pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-99.8623pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-149.37698pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-131.92632pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{10.33748pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{37.42444pt}{-3.75674pt}{24.73578pt}{7.51349pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{37.70897pt}{-3.47221pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\dim{\mathcal{H}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{165.75395pt}{-9.03459pt}{81.0571pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.03848pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.68272pt}{-9.03459pt}{130.45993pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-93.3982pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-90.17656pt}{-9.03459pt}{151.90036pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-89.89203pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{166.66019pt}{-9.03459pt}{79.24463pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.94472pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.18619pt}{-9.03459pt}{129.46686pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-92.90166pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.33131pt}{-5.28453pt}{17.90237pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.61584pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\delta_{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-88.56894pt}{-9.03459pt}{148.68512pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-88.28441pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{163.39307pt}{-9.03459pt}{85.77887pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{163.6776pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-96.04361pt}{-9.03459pt}{135.1817pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-95.75908pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{$\chi$}{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-92.01176pt}{-9.03459pt}{155.57077pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-91.72723pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{$\chi$}{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{q}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-212.01793pt}{-7.88521pt}{18.58405pt}{15.77042pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-208.68492pt}{-2.28111pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{U{\underline{x}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{33.31834pt}{-7.88521pt}{18.72159pt}{15.77042pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{36.65135pt}{-2.28111pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{V_{\underline{p}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-85.35828pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-115.43367pt}{-7.84901pt}\pgfsys@lineto{-115.43367pt}{-6.37737pt}\pgfsys@curveto{-115.43367pt}{-1.95903pt}{-111.852pt}{1.62263pt}{-107.43367pt}{1.62263pt}\pgfsys@lineto{-97.96202pt}{1.62263pt}\pgfsys@lineto{-97.96202pt}{-15.84901pt}\pgfsys@lineto{-107.43367pt}{-15.84901pt}\pgfsys@curveto{-111.852pt}{-15.84901pt}{-115.43367pt}{-12.26735pt}{-115.43367pt}{-7.84901pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-111.36006pt}{-9.22763pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta_{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-56.68193pt}{0.22359pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-131.37042pt}{0.22359pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-128.03741pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-81.09036pt}{3.5566pt}\pgfsys@curveto{-81.09036pt}{5.91373pt}{-83.00114pt}{7.82451pt}{-85.35828pt}{7.82451pt}\pgfsys@curveto{-87.71541pt}{7.82451pt}{-89.62619pt}{5.91373pt}{-89.62619pt}{3.5566pt}\pgfsys@curveto{-89.62619pt}{1.19946pt}{-87.71541pt}{-0.71132pt}{-85.35828pt}{-0.71132pt}\pgfsys@curveto{-83.00114pt}{-0.71132pt}{-81.09036pt}{1.19946pt}{-81.09036pt}{3.5566pt}\pgfsys@closepath\pgfsys@moveto{-85.35828pt}{3.5566pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-85.35828pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-156.62666pt}{-6.4084pt}{14.49936pt}{12.8168pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-153.29366pt}{-3.0754pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\operatorname{st}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-128.03741pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-128.03741pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-181.49506pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-178.16205pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{114.03462pt}{0.22359pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{188.49953pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{188.49953pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{88.77838pt}{-6.4084pt}{14.49936pt}{12.8168pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.11139pt}{-3.0754pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\operatorname{st}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{185.16652pt}{0.22359pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{188.49953pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{164.31468pt}{3.5566pt}\pgfsys@curveto{164.31468pt}{5.91373pt}{162.4039pt}{7.82451pt}{160.04677pt}{7.82451pt}\pgfsys@curveto{157.68964pt}{7.82451pt}{155.77885pt}{5.91373pt}{155.77885pt}{3.5566pt}\pgfsys@curveto{155.77885pt}{1.19946pt}{157.68964pt}{-0.71132pt}{160.04677pt}{-0.71132pt}\pgfsys@curveto{162.4039pt}{-0.71132pt}{164.31468pt}{1.19946pt}{164.31468pt}{3.5566pt}\pgfsys@closepath\pgfsys@moveto{160.04677pt}{3.5566pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{160.04677pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{63.90999pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{67.243pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{129.97137pt}{-7.84901pt}\pgfsys@lineto{129.97137pt}{-6.37737pt}\pgfsys@curveto{129.97137pt}{-1.95903pt}{133.55304pt}{1.62263pt}{137.97137pt}{1.62263pt}\pgfsys@lineto{147.44302pt}{1.62263pt}\pgfsys@lineto{147.44302pt}{-15.84901pt}\pgfsys@lineto{137.97137pt}{-15.84901pt}\pgfsys@curveto{133.55304pt}{-15.84901pt}{129.97137pt}{-12.26735pt}{129.97137pt}{-7.84901pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{133.13875pt}{-8.90819pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-257.16826pt}{-7.88521pt}{30.63962pt}{15.77042pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-253.83525pt}{-2.28111pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{V{\underline{p}}U_{\underline{x}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{256.75229pt}{-7.88521pt}{55.5506pt}{15.77042pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{260.0853pt}{-2.28111pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{e^{i2\pi\underline{p}\cdot\underline{x}};U_{\underline{x}}V_{\underline{p}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-124.48082pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{105.07521pt}{-14.9622pt}\pgfsys@lineto{105.07521pt}{-13.49055pt}\pgfsys@curveto{105.07521pt}{-9.07222pt}{108.65688pt}{-5.49055pt}{113.07521pt}{-5.49055pt}\pgfsys@lineto{122.54686pt}{-5.49055pt}\pgfsys@lineto{122.54686pt}{-22.9622pt}\pgfsys@lineto{113.07521pt}{-22.9622pt}\pgfsys@curveto{108.65688pt}{-22.9622pt}{105.07521pt}{-19.38054pt}{105.07521pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{108.24258pt}{-16.02138pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-111.87708pt}{-14.9622pt}\pgfsys@lineto{-111.87708pt}{-13.49055pt}\pgfsys@curveto{-111.87708pt}{-9.07222pt}{-108.29541pt}{-5.49055pt}{-103.87708pt}{-5.49055pt}\pgfsys@lineto{-94.40543pt}{-5.49055pt}\pgfsys@lineto{-94.40543pt}{-22.9622pt}\pgfsys@lineto{-103.87708pt}{-22.9622pt}\pgfsys@curveto{-108.29541pt}{-22.9622pt}{-111.87708pt}{-19.38054pt}{-111.87708pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-108.7097pt}{-16.02138pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{89.13846pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-154.55621pt}{-14.9622pt}\pgfsys@lineto{-154.55621pt}{-13.49055pt}\pgfsys@curveto{-154.55621pt}{-9.07222pt}{-150.97455pt}{-5.49055pt}{-146.55621pt}{-5.49055pt}\pgfsys@lineto{-137.08456pt}{-5.49055pt}\pgfsys@lineto{-137.08456pt}{-22.9622pt}\pgfsys@lineto{-146.55621pt}{-22.9622pt}\pgfsys@curveto{-150.97455pt}{-22.9622pt}{-154.55621pt}{-19.38054pt}{-154.55621pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-150.4826pt}{-16.34082pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta_{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{147.75435pt}{-14.9622pt}\pgfsys@lineto{147.75435pt}{-13.49055pt}\pgfsys@curveto{147.75435pt}{-9.07222pt}{151.33601pt}{-5.49055pt}{155.75435pt}{-5.49055pt}\pgfsys@lineto{165.226pt}{-5.49055pt}\pgfsys@lineto{165.226pt}{-22.9622pt}\pgfsys@lineto{155.75435pt}{-22.9622pt}\pgfsys@curveto{151.33601pt}{-22.9622pt}{147.75435pt}{-19.38054pt}{147.75435pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{151.82796pt}{-16.34082pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta_{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-56.68193pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{182.09766pt}{0.0pt}\pgfsys@curveto{182.09766pt}{2.35713pt}{180.18687pt}{4.26791pt}{177.82974pt}{4.26791pt}\pgfsys@curveto{175.47261pt}{4.26791pt}{173.56183pt}{2.35713pt}{173.56183pt}{0.0pt}\pgfsys@curveto{173.56183pt}{-2.35713pt}{175.47261pt}{-4.26791pt}{177.82974pt}{-4.26791pt}\pgfsys@curveto{180.18687pt}{-4.26791pt}{182.09766pt}{-2.35713pt}{182.09766pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{177.82974pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-25.00488pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-21.67188pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{62.39607pt}{-8.73582pt}\pgfsys@lineto{62.39607pt}{8.73582pt}\pgfsys@lineto{71.86772pt}{8.73582pt}\pgfsys@curveto{76.28606pt}{8.73582pt}{79.86772pt}{5.15416pt}{79.86772pt}{0.73582pt}\pgfsys@lineto{79.86772pt}{-0.73582pt}\pgfsys@curveto{79.86772pt}{-5.15416pt}{76.28606pt}{-8.73582pt}{71.86772pt}{-8.73582pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{66.759pt}{-2.76721pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}^{\dagger}{-\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-77.53377pt}{0.0pt}\pgfsys@curveto{-77.53377pt}{2.35713pt}{-79.44455pt}{4.26791pt}{-81.80168pt}{4.26791pt}\pgfsys@curveto{-84.15881pt}{4.26791pt}{-86.0696pt}{2.35713pt}{-86.0696pt}{0.0pt}\pgfsys@curveto{-86.0696pt}{-2.35713pt}{-84.15881pt}{-4.26791pt}{-81.80168pt}{-4.26791pt}\pgfsys@curveto{-79.44455pt}{-4.26791pt}{-77.53377pt}{-2.35713pt}{-77.53377pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-81.80168pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-81.80168pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-170.49297pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-167.15996pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{202.9495pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{206.2825pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{26.83012pt}{-0.73582pt}\pgfsys@lineto{26.83012pt}{0.73582pt}\pgfsys@curveto{26.83012pt}{5.15416pt}{30.41179pt}{8.73582pt}{34.83012pt}{8.73582pt}\pgfsys@lineto{44.30177pt}{8.73582pt}\pgfsys@lineto{44.30177pt}{-8.73582pt}\pgfsys@lineto{34.83012pt}{-8.73582pt}\pgfsys@curveto{30.41179pt}{-8.73582pt}{26.83012pt}{-5.15416pt}{26.83012pt}{-0.73582pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{30.90373pt}{-2.11444pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{139.41852pt}{0.0pt}\pgfsys@curveto{139.41852pt}{2.35713pt}{137.50774pt}{4.26791pt}{135.1506pt}{4.26791pt}\pgfsys@curveto{132.79347pt}{4.26791pt}{130.88269pt}{2.35713pt}{130.88269pt}{0.0pt}\pgfsys@curveto{130.88269pt}{-2.35713pt}{132.79347pt}{-4.26791pt}{135.1506pt}{-4.26791pt}\pgfsys@curveto{137.50774pt}{-4.26791pt}{139.41852pt}{-2.35713pt}{139.41852pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{135.1506pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-120.2129pt}{0.0pt}\pgfsys@curveto{-120.2129pt}{2.35713pt}{-122.12369pt}{4.26791pt}{-124.48082pt}{4.26791pt}\pgfsys@curveto{-126.83795pt}{4.26791pt}{-128.74873pt}{2.35713pt}{-128.74873pt}{0.0pt}\pgfsys@curveto{-128.74873pt}{-2.35713pt}{-126.83795pt}{-4.26791pt}{-124.48082pt}{-4.26791pt}\pgfsys@curveto{-122.12369pt}{-4.26791pt}{-120.2129pt}{-2.35713pt}{-120.2129pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-124.48082pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-124.48082pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{231.06995pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{234.40295pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-195.7492pt}{-6.4084pt}{14.49936pt}{12.8168pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-192.4162pt}{-3.0754pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\operatorname{st}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{-21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{28.45276pt}{-21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{28.45276pt}{21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-167.15996pt}{-21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-167.15996pt}{21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{206.2825pt}{-21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{206.2825pt}{21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-0.13649pt}{-6.4084pt}{14.49936pt}{12.8168pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{3.19652pt}{-3.0754pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\operatorname{st}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-220.6176pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-217.28459pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }{{}}{{}} \par \par\par{{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{2.5607pt}{0.0pt}\pgfsys@curveto{2.5607pt}{1.41425pt}{1.41425pt}{2.5607pt}{0.0pt}{2.5607pt}\pgfsys@curveto{-1.41425pt}{2.5607pt}{-2.5607pt}{1.41425pt}{-2.5607pt}{0.0pt}\pgfsys@curveto{-2.5607pt}{-1.41425pt}{-1.41425pt}{-2.5607pt}{0.0pt}{-2.5607pt}\pgfsys@curveto{1.41425pt}{-2.5607pt}{2.5607pt}{-1.41425pt}{2.5607pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{0.0pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.59999}{0.0}{0.0}{0.59999}{0.0pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \par \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope{}{}{}\hss}\pgfsys@discardpath\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hss}}\lxSVG@closescope\endpgfpicture}} }\!\!) together with the fact that delta functions are
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|$$:=$$|\delta_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{q}}|$$U_{\underline{x}}$$V_{\underline{p}}$$\delta_{\underline{x}^{\prime}}$$\operatorname{st}$$=$$\operatorname{st}$$=$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$V_{\underline{p}}U_{\underline{x}}$$e^{i2\pi\underline{p}\cdot\underline{x}}\;U_{\underline{x}}V_{\underline{p}}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$=$$\raisebox{2.0pt}{\chi}^{\dagger}_{-\underline{p}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$=$$\operatorname{st}$$\operatorname{st}$$=

-classical states and that plane-waves are
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|$$:=$$|\delta_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{q}}|$$U_{\underline{x}}$$V_{\underline{p}}$$\delta_{\underline{x}^{\prime}}$$\operatorname{st}$$=$$\operatorname{st}$$=$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$V_{\underline{p}}U_{\underline{x}}$$e^{i2\pi\underline{p}\cdot\underline{x}}\;U_{\underline{x}}V_{\underline{p}}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$=$$\raisebox{2.0pt}{\chi}^{\dagger}_{-\underline{p}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$=$$\operatorname{st}$$\operatorname{st}$$=

-classical states:

[TABLE]

[TABLE]

6 Quantum fields on lattices

In Section 5, we have seen that there are so many non-standard rational numbers that the standard reals can be approximated with ease by considering an infinite lattice with infinitesimal mesh. In this Section, we will see that there also are so many non-standard integers that quantum fields living on lattices, traditionally forming a non-separable Hilbert space, can be modelled in our framework.

If $V$ is a standard finite-dimensional Hilbert space with dimension greater than one, and $X$ is some countably infinite set, then it is well known that the space $V^{\otimes X}$ of $V$-valued quantum fields on $X$ is a non-separable standard Hilbert space: any orthonormal basis would have cardinality $(\dim{V})^{X}$, which is strictly larger than $\aleph_{0}$ whenever $\dim{V}>1$ and $X$ is infinite (we use the infinite direct product $V^{\otimes X}$ of von Neumann [18]). Our model begins with the following observation: if $D,m\in\mathbb{N}$ then we have $D^{m}\in\mathbb{N}$, and hence by Transfer Theorem if $D,\mu\in\,^{\star}\mathbb{N}$ then we must have $D^{\mu}\in\,^{\star}\mathbb{N}$. Fix $D,m\in\mathbb{N}^{+}$, and observe that the natural numbers between $1$ and $D^{m}$ can be constructively interpreted as strings of length $m$ with characters chosen in $\{1,...,D\}$. Denote the corresponding decoding/encoding functions as follows:

[TABLE]

By Transfer Theorem, we obtain a pair of corresponding decoding/encoding functions $\operatorname{dec}_{D,\mu}$ and $\operatorname{enc}_{D,\mu}$ for each pair of positive non-standard naturals $D,\mu\in\,^{\star}\mathbb{N}^{+}$; we will use underlined letters $\underline{s}$ to denote strings seen as functions $\underline{s}\in\{1,...,D\}^{\mu}$, and undecorated letters $s$ to denote the corresponding encodings of strings as numbers $s\in\{1,...,D^{\mu}\}$.

Take some orthonormal family $|e_{\underline{s}}\rangle\in|\mathcal{H}|$ of vectors in some non-standard Hilbert space $|\mathcal{H}|$, and a family $\psi_{\underline{s}}\in\,^{\star}\mathbb{C}$ of non-standard complex numbers, both indexed by the internal set of all strings $\underline{s}\in\{1,...,D\}^{\mu}$ for some positive non-standard naturals $D,\mu\in\,^{\star}\mathbb{N}^{+}$. By using the decoding function, we can always construct a vector $|\psi\rangle$ of $|\mathcal{H}|$ as follows:

[TABLE]

Now consider an object $\mathcal{H}:=(|\mathcal{H}|,P_{\mathcal{H}})$ of ${}^{\star}\!\operatorname{Hilb}$, with $P_{\mathcal{H}}:=\sum_{d=1}^{\dim{\mathcal{H}}}|e_{d}\rangle\langle e_{d}|$ for some orthonormal family $|e_{d}\rangle_{d=1}^{\dim{\mathcal{H}}}$: we wish to construct an object $\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$ corresponding to a $\mathcal{H}$-valued quantum field living on the lattice ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$. Define the shorthands $D:=\dim{\mathcal{H}}$ and $\mu:=(2\omega+1)^{n}$, and consider the following orthonormal family $|e_{\underline{s}}\rangle$ of non-standard states in $|\mathcal{H}|^{\otimes\mu}$ (a non-standard Hilbert space which exists by Transfer Theorem) indexed by strings $\underline{s}\in\{1,...,D\}^{\mu}$:

[TABLE]

We introduced the following shorthand to access the characters of the indexing strings:

[TABLE]

We have chosen to introduce the shorthand above because $\underline{s}$ is technically $\underline{s}:\{1,...,\mu\}\rightarrow\{1,...,D\}$, but it is more physically significant to treat it as $\underline{s}:\{-\omega,...,+\omega\}^{n}\rightarrow\{1,...,D\}$, since we are working in the context of $n$-dimensional lattices.

Traditionally, this procedure would result in an uncountable family, which cannot be adequately summed in the standard framework. In our non-standard framework, on the other hand, we can use the encoding/decoding trick to sum it and define a legitimate truncating projector:

[TABLE]

We take the corresponding object $\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}:=(|\mathcal{H}|^{\otimes\mu},P_{\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}})$ of ${}^{\star}\!\operatorname{Hilb}$ to model $\mathcal{H}$-valued quantum fields on the lattice ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ within our framework. As a matter of convenience, we will adopt a more slender notation for sums over strings, leaving the decoding step $s\mapsto\underline{s}:=\operatorname{dec}_{D,\mu}(s)$ implicit:

[TABLE]

Now consider a decomposition $P_{\mathcal{H}}:=\sum_{d=1}^{D}|\phi_{d}^{(\underline{k})}\rangle\langle\phi_{d}^{(\underline{k})}|$ of the truncating projector $P_{\mathcal{H}}$ for the quantum system $\mathcal{H}$ in terms of orthonormal families specified at each point $\underline{k}$ of the lattice, and let \big{(}\hbox{ \leavevmode\hbox to5.52pt{\vbox to5.52pt{\pgfpicture\makeatletter\hbox{\hskip 2.7607pt\lower-2.7607pt\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\pgfsys@setlinewidth{0.4pt}\pgfsys@invoke{ }\nullfont\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{{ {\pgfsys@beginscope \pgfsys@setdash{}{0.0pt}\pgfsys@roundcap\pgfsys@roundjoin{} {}{}{} {}{}{} \pgfsys@moveto{-2.07999pt}{2.39998pt}\pgfsys@curveto{-1.69998pt}{0.95998pt}{-0.85318pt}{0.28pt}{0.0pt}{0.0pt}\pgfsys@curveto{-0.85318pt}{-0.28pt}{-1.69998pt}{-0.95998pt}{-2.07999pt}{-2.39998pt}\pgfsys@stroke\pgfsys@endscope}} } {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-181.38011pt}{0.40538pt}\pgfsys@curveto{-181.11555pt}{9.0722pt}{-172.37865pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-181.38634pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{53.34892pt}{-14.22638pt}\pgfsys@curveto{62.2602pt}{-14.22638pt}{71.1319pt}{-8.91127pt}{71.1319pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{53.34892pt}{14.22638pt}\pgfsys@curveto{62.12419pt}{14.22636pt}{70.86113pt}{9.0722pt}{71.1257pt}{0.40538pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{71.1319pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-181.38634pt}{0.0pt}\pgfsys@curveto{-181.38634pt}{-8.91127pt}{-172.51463pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{} \pgfsys@moveto{-177.82414pt}{0.40282pt}\pgfsys@curveto{-177.61205pt}{8.09265pt}{-171.34596pt}{14.22636pt}{-163.60336pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{-1.0}{1.0}{0.0}{-177.82974pt}{0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}{} {}{}{}{}{{}{}{}{}}{{}{}{}{}} {{}{}{}{}} {{}{}{}{}} {}{}{}{}{}\pgfsys@moveto{-163.60336pt}{-14.22638pt}\pgfsys@curveto{-155.86075pt}{-14.22636pt}{-149.59459pt}{-8.09265pt}{-149.38249pt}{-0.40282pt}\pgfsys@stroke\pgfsys@invoke{ }{{{{}{}{}{}{{}} {{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.0}{1.0}{-1.0}{0.0}{-149.37698pt}{-0.2pt}\pgfsys@invoke{ }\pgfsys@invoke{ \lxSVG@closescope }\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-163.60336pt}{14.22638pt}\pgfsys@curveto{-155.72601pt}{14.22638pt}{-149.37698pt}{7.87735pt}{-149.37698pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@curveto{-177.82974pt}{-7.87735pt}{-171.48071pt}{-14.22638pt}{-163.60336pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{112.89972pt}{0.0pt}\pgfsys@lineto{92.47147pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{}{}{}\pgfsys@moveto{-177.82974pt}{0.0pt}\pgfsys@lineto{-160.95808pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{3.15929pt}\pgfsys@curveto{-147.8946pt}{8.59555pt}{-142.83865pt}{10.66978pt}{-135.1506pt}{10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{ {}{}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{-153.33089pt}{-3.15929pt}\pgfsys@curveto{-147.8946pt}{-8.59555pt}{-142.83865pt}{-10.66978pt}{-135.1506pt}{-10.66978pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{121.83554pt}{0.0pt}\pgfsys@lineto{142.2638pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{10.66978pt}\pgfsys@curveto{-170.1417pt}{10.66978pt}{-165.08572pt}{8.59555pt}{-159.64946pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-177.82974pt}{-10.66978pt}\pgfsys@curveto{-170.1417pt}{-10.66978pt}{-165.08572pt}{-8.59555pt}{-159.64946pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}\pgfsys@moveto{-152.02226pt}{0.0pt}\pgfsys@lineto{-135.1506pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-124.50441pt}{3.5566pt}\pgfsys@curveto{-110.41576pt}{3.5566pt}{-98.47974pt}{16.67805pt}{-88.51756pt}{6.71588pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-97.96202pt}{-7.11319pt}\pgfsys@curveto{-93.25285pt}{-7.11319pt}{-91.84744pt}{-2.93257pt}{-88.51756pt}{0.39731pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{{}{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{{}{}}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{{}}{ {}{}}{}{}{{}{}}}}}{}{}{}{}}{}\pgfsys@moveto{-85.35828pt}{3.5566pt}\pgfsys@curveto{-77.02957pt}{3.5566pt}{-65.21062pt}{3.5566pt}{-56.88193pt}{3.5566pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-53.34892pt}{14.22638pt}\pgfsys@curveto{-45.0271pt}{14.22638pt}{-45.0271pt}{-14.22638pt}{-53.34892pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-128.03741pt}{14.22638pt}\pgfsys@curveto{-136.35922pt}{14.22638pt}{-136.35922pt}{-14.22638pt}{-128.03741pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{120.90063pt}{3.5566pt}\pgfsys@curveto{134.98927pt}{3.5566pt}{146.9253pt}{16.67805pt}{156.88748pt}{6.71588pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{164.51468pt}{3.5566pt}\pgfsys@lineto{184.96652pt}{3.5566pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{147.44302pt}{-7.11319pt}\pgfsys@curveto{152.15219pt}{-7.11319pt}{153.55759pt}{-2.93257pt}{156.88748pt}{0.39731pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{188.49953pt}{14.22638pt}\pgfsys@curveto{196.82133pt}{14.22638pt}{196.82133pt}{-14.22638pt}{188.49953pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{117.36763pt}{14.22638pt}\pgfsys@curveto{109.0458pt}{14.22638pt}{109.0458pt}{-14.22638pt}{117.36763pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-163.62695pt}{0.0pt}\pgfsys@curveto{-149.5383pt}{0.0pt}{-137.60228pt}{13.12146pt}{-127.6401pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-137.08456pt}{-14.22638pt}\pgfsys@curveto{-131.39651pt}{-14.22638pt}{-131.66216pt}{-7.18134pt}{-127.6401pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-124.48082pt}{0.0pt}\pgfsys@curveto{-109.00903pt}{0.0pt}{-95.90117pt}{14.09949pt}{-84.96097pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{-77.33377pt}{0.0pt}\pgfsys@lineto{-56.88193pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-94.40543pt}{-14.22638pt}\pgfsys@curveto{-88.71738pt}{-14.22638pt}{-88.98302pt}{-7.18134pt}{-84.96097pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{96.00447pt}{0.0pt}\pgfsys@curveto{110.09311pt}{0.0pt}{122.02913pt}{13.12146pt}{131.99132pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{122.54686pt}{-14.22638pt}\pgfsys@curveto{128.2349pt}{-14.22638pt}{127.96925pt}{-7.18134pt}{131.99132pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{135.1506pt}{0.0pt}\pgfsys@curveto{150.62238pt}{0.0pt}{163.73024pt}{14.09949pt}{174.67046pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{165.226pt}{-14.22638pt}\pgfsys@curveto{170.91403pt}{-14.22638pt}{170.64839pt}{-7.18134pt}{174.67046pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{182.29765pt}{0.0pt}\pgfsys@lineto{202.7495pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{}{}{}\pgfsys@moveto{44.30177pt}{0.0pt}\pgfsys@lineto{62.39607pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-53.34892pt}{21.33957pt}\pgfsys@curveto{-40.8662pt}{21.33957pt}{-40.8662pt}{-21.33957pt}{-53.34892pt}{-21.33957pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{28.45276pt}{21.33957pt}\pgfsys@curveto{15.97003pt}{21.33957pt}{15.97003pt}{-21.33957pt}{28.45276pt}{-21.33957pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{-167.15996pt}{21.33957pt}\pgfsys@curveto{-179.64268pt}{21.33957pt}{-179.64268pt}{-21.33957pt}{-167.15996pt}{-21.33957pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} { {}{}{}}{{}{}}{{}} {{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{}{}{}{}\pgfsys@moveto{206.2825pt}{21.33957pt}\pgfsys@curveto{218.76523pt}{21.33957pt}{218.76523pt}{-21.33957pt}{206.2825pt}{-21.33957pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-224.08907pt}{0.0pt}\pgfsys@curveto{-210.00041pt}{0.0pt}{-198.06439pt}{13.12146pt}{-188.10222pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-197.54668pt}{-14.22638pt}\pgfsys@curveto{-191.85863pt}{-14.22638pt}{-192.12427pt}{-7.18134pt}{-188.10222pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-184.94293pt}{0.0pt}\pgfsys@curveto{-169.47115pt}{0.0pt}{-156.36328pt}{14.09949pt}{-145.42308pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{-137.79588pt}{0.0pt}\pgfsys@lineto{-117.34404pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-53.37251pt}{0.0pt}\pgfsys@curveto{-39.28386pt}{0.0pt}{-27.34784pt}{13.12146pt}{-17.38567pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-26.83012pt}{-14.22638pt}\pgfsys@curveto{-21.14207pt}{-14.22638pt}{-21.40771pt}{-7.18134pt}{-17.38567pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-14.22638pt}{0.0pt}\pgfsys@curveto{-7.21133pt}{0.0pt}{2.74342pt}{0.0pt}{9.75847pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{{}{{}{}}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{{}{{}{}}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{{{{{{}}{ {}{}}{}{}{{}{}}}}}{}{}{}{}}{}\pgfsys@moveto{16.46033pt}{3.86932pt}\pgfsys@curveto{23.71411pt}{16.43327pt}{38.86494pt}{0.0pt}{53.37251pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{26.83012pt}{-14.22638pt}\pgfsys@curveto{21.14207pt}{-14.22638pt}{21.40771pt}{-7.18134pt}{17.38567pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{117.34404pt}{0.0pt}\pgfsys@curveto{135.49358pt}{0.0pt}{147.6104pt}{30.21935pt}{160.44408pt}{17.38567pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{{}{{}{}}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{{}{{}{}}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{{{{{{}}{ {}{}}{}{}{{}{}}}}}{}{}{}{}}{}\pgfsys@moveto{195.21541pt}{17.38567pt}\pgfsys@curveto{208.04909pt}{30.21935pt}{220.1659pt}{0.0pt}{238.31544pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{}{}{}\pgfsys@moveto{150.99962pt}{-14.22638pt}\pgfsys@lineto{159.13545pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{166.76265pt}{-11.0671pt}\pgfsys@lineto{188.89684pt}{11.0671pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{168.07127pt}{-14.22638pt}\pgfsys@lineto{187.58821pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{188.89684pt}{-11.0671pt}\pgfsys@lineto{166.76265pt}{11.0671pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{168.07127pt}{14.22638pt}\pgfsys@lineto{187.58821pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{196.52403pt}{-14.22638pt}\pgfsys@lineto{211.77306pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-154.86754pt}{-14.22638pt}\pgfsys@curveto{-149.17949pt}{-14.22638pt}{-149.44513pt}{-7.18134pt}{-145.42308pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } \hss} { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{231.15508pt}{0.0pt}\pgfsys@curveto{245.24371pt}{0.0pt}{257.17973pt}{13.12146pt}{267.14192pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{270.30121pt}{0.0pt}\pgfsys@curveto{285.77298pt}{0.0pt}{298.88084pt}{14.09949pt}{309.82106pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{300.3766pt}{-14.22638pt}\pgfsys@curveto{306.06464pt}{-14.22638pt}{305.799pt}{-7.18134pt}{309.82106pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{317.44826pt}{0.0pt}\pgfsys@lineto{337.9001pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-266.7682pt}{0.0pt}\pgfsys@curveto{-248.61865pt}{0.0pt}{-236.50185pt}{30.21935pt}{-223.66817pt}{17.38567pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{} {{}{}{{}}{}}{{}{{}{}}{}}{{}{}}{{}} {{}{}{{}}{}}{{{}}{{}}}{{}}{{}{{}{}}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{{{{{{}}{ {}{}}{}{}{{}{}}}}}{}{}{}{}}{}\pgfsys@moveto{-188.89684pt}{17.38567pt}\pgfsys@curveto{-176.06316pt}{30.21935pt}{-163.94633pt}{0.0pt}{-145.7968pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{}{}{}\pgfsys@moveto{-240.22581pt}{-14.22638pt}\pgfsys@lineto{-224.97679pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{-217.3496pt}{-11.0671pt}\pgfsys@lineto{-195.21541pt}{11.0671pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{-216.04097pt}{-14.22638pt}\pgfsys@lineto{-196.52403pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{-195.21541pt}{-11.0671pt}\pgfsys@lineto{-217.3496pt}{11.0671pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{{}} {{{{{}}{}{}{}{}{{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{-216.04097pt}{14.22638pt}\pgfsys@lineto{-196.52403pt}{14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{}{}{}\pgfsys@moveto{-73.06586pt}{0.0pt}\pgfsys@lineto{-54.97156pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{{}}{} {{}{}{{}}{}}{{}{}}{{}} {{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{0.0pt}{0.0pt}\pgfsys@curveto{22.75504pt}{22.75504pt}{59.44394pt}{25.91432pt}{82.19899pt}{3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{72.75453pt}{-14.22638pt}\pgfsys@curveto{78.44257pt}{-14.22638pt}{78.17693pt}{-7.18134pt}{82.19899pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{89.82619pt}{0.0pt}\pgfsys@lineto{110.27803pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{-24.91975pt}{0.0pt}\pgfsys@curveto{-18.93805pt}{0.0pt}{-10.4496pt}{0.0pt}{-4.46791pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{{}{}{{}}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{{}{}{{}}{}}{{{}}{{}}}{{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{{{{{{}}{}{}{}{}{{}}}}}{}{}{}{}}{}\pgfsys@moveto{12.60374pt}{-14.22638pt}\pgfsys@curveto{6.9157pt}{-14.22638pt}{7.18134pt}{-7.18134pt}{3.15929pt}{-3.15929pt}\pgfsys@stroke\pgfsys@invoke{ } {{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{}{}{}{}{{}}}}}{{}}{}{}{}{}\pgfsys@moveto{-187.58821pt}{-14.22638pt}\pgfsys@lineto{-172.33919pt}{-14.22638pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{}{ {}{}{}} {{{{{}}{ {}{}}{}{}{{}{}}}}}{}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{}{}{}\pgfsys@moveto{183.00897pt}{0.0pt}\pgfsys@lineto{201.10327pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } { {}{}{}}{} {{}{{}{}}{}}{ {}{}{}}{{}{}}{{}} {{}{{}{}}{}}{{{}}{{}}}{{}}{ {}{}{}}{{{}}{{}}}{ {}{}{}}{}{{}}{{{{{}}{ {}{}}{}{}{{}{}}}}}{{}}{}{}{}{}{}\pgfsys@moveto{257.69746pt}{-14.22638pt}\pgfsys@curveto{265.12352pt}{-14.22638pt}{265.05019pt}{-5.25102pt}{270.30121pt}{0.0pt}\pgfsys@stroke\pgfsys@invoke{ } \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\pgfsys@beginscope\pgfsys@invoke{ }\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{\hbox to0.0pt{ {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-181.38634pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-116.83374pt}{-9.03459pt}{62.95093pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-116.54921pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{71.1319pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-147.54158pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{87.19368pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{120.12369pt}{-9.03459pt}{58.50659pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{120.40822pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-100.14684pt}{-9.03459pt}{86.48264pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-99.8623pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-149.37698pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-131.92632pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{10.33748pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{37.42444pt}{-3.75674pt}{24.73578pt}{7.51349pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{37.70897pt}{-3.47221pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\dim{\mathcal{H}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{165.75395pt}{-9.03459pt}{81.0571pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.03848pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.68272pt}{-9.03459pt}{130.45993pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-93.3982pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-90.17656pt}{-9.03459pt}{151.90036pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-89.89203pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{$\chi$}{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{k}}|\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{166.66019pt}{-9.03459pt}{79.24463pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{166.94472pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-93.18619pt}{-9.03459pt}{129.46686pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-92.90166pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.33131pt}{-5.28453pt}{17.90237pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.61584pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\delta_{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-88.56894pt}{-9.03459pt}{148.68512pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-88.28441pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{163.39307pt}{-9.03459pt}{85.77887pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{163.6776pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{144.0992pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-96.04361pt}{-9.03459pt}{135.1817pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-95.75908pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{$\chi$}{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{$\chi$}{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-119.08882pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{197.53616pt}{-5.28453pt}{17.49268pt}{10.56906pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{197.8207pt}{-2.5pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{|\raisebox{2.0pt}{$\chi$}{\underline{0}}\rangle}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{165.43877pt}{-2.15277pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{:=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-92.01176pt}{-9.03459pt}{155.57077pt}{18.06918pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-91.72723pt}{1.25006pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{$\chi$}{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{p}}|\otimes\langle\raisebox{2.0pt}{$\chi$}{\underline{q}}|}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@setlinewidth{1.8pt}\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-177.82974pt}{-10.66978pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-152.22226pt}{0.0pt}\pgfsys@curveto{-152.22226pt}{2.35713pt}{-154.13304pt}{4.26791pt}{-156.49017pt}{4.26791pt}\pgfsys@curveto{-158.8473pt}{4.26791pt}{-160.75809pt}{2.35713pt}{-160.75809pt}{0.0pt}\pgfsys@curveto{-160.75809pt}{-2.35713pt}{-158.8473pt}{-4.26791pt}{-156.49017pt}{-4.26791pt}\pgfsys@curveto{-154.13304pt}{-4.26791pt}{-152.22226pt}{-2.35713pt}{-152.22226pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-156.49017pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-156.49017pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{121.63554pt}{0.0pt}\pgfsys@curveto{121.63554pt}{2.35713pt}{119.72476pt}{4.26791pt}{117.36763pt}{4.26791pt}\pgfsys@curveto{115.0105pt}{4.26791pt}{113.09972pt}{2.35713pt}{113.09972pt}{0.0pt}\pgfsys@curveto{113.09972pt}{-2.35713pt}{115.0105pt}{-4.26791pt}{117.36763pt}{-4.26791pt}\pgfsys@curveto{119.72476pt}{-4.26791pt}{121.63554pt}{-2.35713pt}{121.63554pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{117.36763pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-212.01793pt}{-7.88521pt}{18.58405pt}{15.77042pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-208.68492pt}{-2.28111pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{U{\underline{x}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{33.31834pt}{-7.88521pt}{18.72159pt}{15.77042pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{36.65135pt}{-2.28111pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{V_{\underline{p}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-85.35828pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-115.43367pt}{-7.84901pt}\pgfsys@lineto{-115.43367pt}{-6.37737pt}\pgfsys@curveto{-115.43367pt}{-1.95903pt}{-111.852pt}{1.62263pt}{-107.43367pt}{1.62263pt}\pgfsys@lineto{-97.96202pt}{1.62263pt}\pgfsys@lineto{-97.96202pt}{-15.84901pt}\pgfsys@lineto{-107.43367pt}{-15.84901pt}\pgfsys@curveto{-111.852pt}{-15.84901pt}{-115.43367pt}{-12.26735pt}{-115.43367pt}{-7.84901pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-111.36006pt}{-9.22763pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta_{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-56.68193pt}{0.22359pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-131.37042pt}{0.22359pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-128.03741pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-81.09036pt}{3.5566pt}\pgfsys@curveto{-81.09036pt}{5.91373pt}{-83.00114pt}{7.82451pt}{-85.35828pt}{7.82451pt}\pgfsys@curveto{-87.71541pt}{7.82451pt}{-89.62619pt}{5.91373pt}{-89.62619pt}{3.5566pt}\pgfsys@curveto{-89.62619pt}{1.19946pt}{-87.71541pt}{-0.71132pt}{-85.35828pt}{-0.71132pt}\pgfsys@curveto{-83.00114pt}{-0.71132pt}{-81.09036pt}{1.19946pt}{-81.09036pt}{3.5566pt}\pgfsys@closepath\pgfsys@moveto{-85.35828pt}{3.5566pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-85.35828pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-156.62666pt}{-6.4084pt}{14.49936pt}{12.8168pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-153.29366pt}{-3.0754pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\operatorname{st}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-128.03741pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-128.03741pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-181.49506pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-178.16205pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{114.03462pt}{0.22359pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{188.49953pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{188.49953pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{88.77838pt}{-6.4084pt}{14.49936pt}{12.8168pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.11139pt}{-3.0754pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\operatorname{st}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{185.16652pt}{0.22359pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{188.49953pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{164.31468pt}{3.5566pt}\pgfsys@curveto{164.31468pt}{5.91373pt}{162.4039pt}{7.82451pt}{160.04677pt}{7.82451pt}\pgfsys@curveto{157.68964pt}{7.82451pt}{155.77885pt}{5.91373pt}{155.77885pt}{3.5566pt}\pgfsys@curveto{155.77885pt}{1.19946pt}{157.68964pt}{-0.71132pt}{160.04677pt}{-0.71132pt}\pgfsys@curveto{162.4039pt}{-0.71132pt}{164.31468pt}{1.19946pt}{164.31468pt}{3.5566pt}\pgfsys@closepath\pgfsys@moveto{160.04677pt}{3.5566pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{160.04677pt}{3.5566pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{63.90999pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{67.243pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{129.97137pt}{-7.84901pt}\pgfsys@lineto{129.97137pt}{-6.37737pt}\pgfsys@curveto{129.97137pt}{-1.95903pt}{133.55304pt}{1.62263pt}{137.97137pt}{1.62263pt}\pgfsys@lineto{147.44302pt}{1.62263pt}\pgfsys@lineto{147.44302pt}{-15.84901pt}\pgfsys@lineto{137.97137pt}{-15.84901pt}\pgfsys@curveto{133.55304pt}{-15.84901pt}{129.97137pt}{-12.26735pt}{129.97137pt}{-7.84901pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{133.13875pt}{-8.90819pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{117.36763pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-257.16826pt}{-7.88521pt}{30.63962pt}{15.77042pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-253.83525pt}{-2.28111pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{V{\underline{p}}U_{\underline{x}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{256.75229pt}{-7.88521pt}{55.5506pt}{15.77042pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{260.0853pt}{-2.28111pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{e^{i2\pi\underline{p}\cdot\underline{x}};U_{\underline{x}}V_{\underline{p}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-124.48082pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{105.07521pt}{-14.9622pt}\pgfsys@lineto{105.07521pt}{-13.49055pt}\pgfsys@curveto{105.07521pt}{-9.07222pt}{108.65688pt}{-5.49055pt}{113.07521pt}{-5.49055pt}\pgfsys@lineto{122.54686pt}{-5.49055pt}\pgfsys@lineto{122.54686pt}{-22.9622pt}\pgfsys@lineto{113.07521pt}{-22.9622pt}\pgfsys@curveto{108.65688pt}{-22.9622pt}{105.07521pt}{-19.38054pt}{105.07521pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{108.24258pt}{-16.02138pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-111.87708pt}{-14.9622pt}\pgfsys@lineto{-111.87708pt}{-13.49055pt}\pgfsys@curveto{-111.87708pt}{-9.07222pt}{-108.29541pt}{-5.49055pt}{-103.87708pt}{-5.49055pt}\pgfsys@lineto{-94.40543pt}{-5.49055pt}\pgfsys@lineto{-94.40543pt}{-22.9622pt}\pgfsys@lineto{-103.87708pt}{-22.9622pt}\pgfsys@curveto{-108.29541pt}{-22.9622pt}{-111.87708pt}{-19.38054pt}{-111.87708pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-108.7097pt}{-16.02138pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{89.13846pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{92.47147pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-154.55621pt}{-14.9622pt}\pgfsys@lineto{-154.55621pt}{-13.49055pt}\pgfsys@curveto{-154.55621pt}{-9.07222pt}{-150.97455pt}{-5.49055pt}{-146.55621pt}{-5.49055pt}\pgfsys@lineto{-137.08456pt}{-5.49055pt}\pgfsys@lineto{-137.08456pt}{-22.9622pt}\pgfsys@lineto{-146.55621pt}{-22.9622pt}\pgfsys@curveto{-150.97455pt}{-22.9622pt}{-154.55621pt}{-19.38054pt}{-154.55621pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-150.4826pt}{-16.34082pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta_{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{147.75435pt}{-14.9622pt}\pgfsys@lineto{147.75435pt}{-13.49055pt}\pgfsys@curveto{147.75435pt}{-9.07222pt}{151.33601pt}{-5.49055pt}{155.75435pt}{-5.49055pt}\pgfsys@lineto{165.226pt}{-5.49055pt}\pgfsys@lineto{165.226pt}{-22.9622pt}\pgfsys@lineto{155.75435pt}{-22.9622pt}\pgfsys@curveto{151.33601pt}{-22.9622pt}{147.75435pt}{-19.38054pt}{147.75435pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{151.82796pt}{-16.34082pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta_{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-56.68193pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{182.09766pt}{0.0pt}\pgfsys@curveto{182.09766pt}{2.35713pt}{180.18687pt}{4.26791pt}{177.82974pt}{4.26791pt}\pgfsys@curveto{175.47261pt}{4.26791pt}{173.56183pt}{2.35713pt}{173.56183pt}{0.0pt}\pgfsys@curveto{173.56183pt}{-2.35713pt}{175.47261pt}{-4.26791pt}{177.82974pt}{-4.26791pt}\pgfsys@curveto{180.18687pt}{-4.26791pt}{182.09766pt}{-2.35713pt}{182.09766pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{177.82974pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{177.82974pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-25.00488pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-21.67188pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{62.39607pt}{-8.73582pt}\pgfsys@lineto{62.39607pt}{8.73582pt}\pgfsys@lineto{71.86772pt}{8.73582pt}\pgfsys@curveto{76.28606pt}{8.73582pt}{79.86772pt}{5.15416pt}{79.86772pt}{0.73582pt}\pgfsys@lineto{79.86772pt}{-0.73582pt}\pgfsys@curveto{79.86772pt}{-5.15416pt}{76.28606pt}{-8.73582pt}{71.86772pt}{-8.73582pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{66.759pt}{-2.76721pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}^{\dagger}{-\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-77.53377pt}{0.0pt}\pgfsys@curveto{-77.53377pt}{2.35713pt}{-79.44455pt}{4.26791pt}{-81.80168pt}{4.26791pt}\pgfsys@curveto{-84.15881pt}{4.26791pt}{-86.0696pt}{2.35713pt}{-86.0696pt}{0.0pt}\pgfsys@curveto{-86.0696pt}{-2.35713pt}{-84.15881pt}{-4.26791pt}{-81.80168pt}{-4.26791pt}\pgfsys@curveto{-79.44455pt}{-4.26791pt}{-77.53377pt}{-2.35713pt}{-77.53377pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-81.80168pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-81.80168pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-170.49297pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-167.15996pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{202.9495pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{206.2825pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{26.83012pt}{-0.73582pt}\pgfsys@lineto{26.83012pt}{0.73582pt}\pgfsys@curveto{26.83012pt}{5.15416pt}{30.41179pt}{8.73582pt}{34.83012pt}{8.73582pt}\pgfsys@lineto{44.30177pt}{8.73582pt}\pgfsys@lineto{44.30177pt}{-8.73582pt}\pgfsys@lineto{34.83012pt}{-8.73582pt}\pgfsys@curveto{30.41179pt}{-8.73582pt}{26.83012pt}{-5.15416pt}{26.83012pt}{-0.73582pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{30.90373pt}{-2.11444pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{139.41852pt}{0.0pt}\pgfsys@curveto{139.41852pt}{2.35713pt}{137.50774pt}{4.26791pt}{135.1506pt}{4.26791pt}\pgfsys@curveto{132.79347pt}{4.26791pt}{130.88269pt}{2.35713pt}{130.88269pt}{0.0pt}\pgfsys@curveto{130.88269pt}{-2.35713pt}{132.79347pt}{-4.26791pt}{135.1506pt}{-4.26791pt}\pgfsys@curveto{137.50774pt}{-4.26791pt}{139.41852pt}{-2.35713pt}{139.41852pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{135.1506pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{135.1506pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-120.2129pt}{0.0pt}\pgfsys@curveto{-120.2129pt}{2.35713pt}{-122.12369pt}{4.26791pt}{-124.48082pt}{4.26791pt}\pgfsys@curveto{-126.83795pt}{4.26791pt}{-128.74873pt}{2.35713pt}{-128.74873pt}{0.0pt}\pgfsys@curveto{-128.74873pt}{-2.35713pt}{-126.83795pt}{-4.26791pt}{-124.48082pt}{-4.26791pt}\pgfsys@curveto{-122.12369pt}{-4.26791pt}{-120.2129pt}{-2.35713pt}{-120.2129pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-124.48082pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-124.48082pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{231.06995pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{234.40295pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-195.7492pt}{-6.4084pt}{14.49936pt}{12.8168pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-192.4162pt}{-3.0754pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\operatorname{st}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-53.34892pt}{-21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{28.45276pt}{-21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{28.45276pt}{21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-167.15996pt}{-21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-167.15996pt}{21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{206.2825pt}{-21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{206.2825pt}{21.33957pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-0.13649pt}{-6.4084pt}{14.49936pt}{12.8168pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{3.19652pt}{-3.0754pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\operatorname{st}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-220.6176pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-217.28459pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-180.67502pt}{0.0pt}\pgfsys@curveto{-180.67502pt}{2.35713pt}{-182.5858pt}{4.26791pt}{-184.94293pt}{4.26791pt}\pgfsys@curveto{-187.30006pt}{4.26791pt}{-189.21085pt}{2.35713pt}{-189.21085pt}{0.0pt}\pgfsys@curveto{-189.21085pt}{-2.35713pt}{-187.30006pt}{-4.26791pt}{-184.94293pt}{-4.26791pt}\pgfsys@curveto{-182.5858pt}{-4.26791pt}{-180.67502pt}{-2.35713pt}{-180.67502pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-184.94293pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-184.94293pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-230.95508pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-227.62207pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-215.01833pt}{-14.9622pt}\pgfsys@lineto{-215.01833pt}{-13.49055pt}\pgfsys@curveto{-215.01833pt}{-9.07222pt}{-211.43666pt}{-5.49055pt}{-207.01833pt}{-5.49055pt}\pgfsys@lineto{-197.54668pt}{-5.49055pt}\pgfsys@lineto{-197.54668pt}{-22.9622pt}\pgfsys@lineto{-207.01833pt}{-22.9622pt}\pgfsys@curveto{-211.43666pt}{-22.9622pt}{-215.01833pt}{-19.38054pt}{-215.01833pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-210.94472pt}{-16.34082pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta_{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-137.99588pt}{0.0pt}\pgfsys@curveto{-137.99588pt}{2.35713pt}{-139.90666pt}{4.26791pt}{-142.2638pt}{4.26791pt}\pgfsys@curveto{-144.62093pt}{4.26791pt}{-146.53171pt}{2.35713pt}{-146.53171pt}{0.0pt}\pgfsys@curveto{-146.53171pt}{-2.35713pt}{-144.62093pt}{-4.26791pt}{-142.2638pt}{-4.26791pt}\pgfsys@curveto{-139.90666pt}{-4.26791pt}{-137.99588pt}{-2.35713pt}{-137.99588pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-142.2638pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-184.94293pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-117.14404pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-113.81104pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-92.58018pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-89.24718pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{26.83012pt}{-22.9622pt}\pgfsys@lineto{26.83012pt}{-5.49055pt}\pgfsys@lineto{36.30177pt}{-5.49055pt}\pgfsys@curveto{40.72011pt}{-5.49055pt}{44.30177pt}{-9.07222pt}{44.30177pt}{-13.49055pt}\pgfsys@lineto{44.30177pt}{-14.9622pt}\pgfsys@curveto{44.30177pt}{-19.38054pt}{40.72011pt}{-22.9622pt}{36.30177pt}{-22.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{29.06416pt}{-16.99359pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{-\underline{p}^{\prime}}^{\dagger}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-60.23853pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-56.90552pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-9.95847pt}{0.0pt}\pgfsys@curveto{-9.95847pt}{2.35713pt}{-11.86925pt}{4.26791pt}{-14.22638pt}{4.26791pt}\pgfsys@curveto{-16.58351pt}{4.26791pt}{-18.4943pt}{2.35713pt}{-18.4943pt}{0.0pt}\pgfsys@curveto{-18.4943pt}{-2.35713pt}{-16.58351pt}{-4.26791pt}{-14.22638pt}{-4.26791pt}\pgfsys@curveto{-11.86925pt}{-4.26791pt}{-9.95847pt}{-2.35713pt}{-9.95847pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{-14.22638pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-14.22638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{18.4943pt}{0.0pt}\pgfsys@curveto{18.4943pt}{2.35713pt}{16.58351pt}{4.26791pt}{14.22638pt}{4.26791pt}\pgfsys@curveto{11.86925pt}{4.26791pt}{9.95847pt}{2.35713pt}{9.95847pt}{0.0pt}\pgfsys@curveto{9.95847pt}{-2.35713pt}{11.86925pt}{-4.26791pt}{14.22638pt}{-4.26791pt}\pgfsys@curveto{16.58351pt}{-4.26791pt}{18.4943pt}{-2.35713pt}{18.4943pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{14.22638pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{14.22638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-44.30177pt}{-14.9622pt}\pgfsys@lineto{-44.30177pt}{-13.49055pt}\pgfsys@curveto{-44.30177pt}{-9.07222pt}{-40.72011pt}{-5.49055pt}{-36.30177pt}{-5.49055pt}\pgfsys@lineto{-26.83012pt}{-5.49055pt}\pgfsys@lineto{-26.83012pt}{-22.9622pt}\pgfsys@lineto{-36.30177pt}{-22.9622pt}\pgfsys@curveto{-40.72011pt}{-22.9622pt}{-44.30177pt}{-19.38054pt}{-44.30177pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-40.22816pt}{-16.34082pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-14.22638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{53.57251pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{56.90552pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{78.13637pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{81.46938pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{167.87128pt}{-14.22638pt}\pgfsys@curveto{167.87128pt}{-11.86925pt}{165.9605pt}{-9.95847pt}{163.60336pt}{-9.95847pt}\pgfsys@curveto{161.24623pt}{-9.95847pt}{159.33545pt}{-11.86925pt}{159.33545pt}{-14.22638pt}\pgfsys@curveto{159.33545pt}{-16.58351pt}{161.24623pt}{-18.4943pt}{163.60336pt}{-18.4943pt}\pgfsys@curveto{165.9605pt}{-18.4943pt}{167.87128pt}{-16.58351pt}{167.87128pt}{-14.22638pt}\pgfsys@closepath\pgfsys@moveto{163.60336pt}{-14.22638pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{163.60336pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{167.87128pt}{14.22638pt}\pgfsys@curveto{167.87128pt}{16.58351pt}{165.9605pt}{18.4943pt}{163.60336pt}{18.4943pt}\pgfsys@curveto{161.24623pt}{18.4943pt}{159.33545pt}{16.58351pt}{159.33545pt}{14.22638pt}\pgfsys@curveto{159.33545pt}{11.86925pt}{161.24623pt}{9.95847pt}{163.60336pt}{9.95847pt}\pgfsys@curveto{165.9605pt}{9.95847pt}{167.87128pt}{11.86925pt}{167.87128pt}{14.22638pt}\pgfsys@closepath\pgfsys@moveto{163.60336pt}{14.22638pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{163.60336pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{110.47803pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{113.81104pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{133.52797pt}{-14.9622pt}\pgfsys@lineto{133.52797pt}{-13.49055pt}\pgfsys@curveto{133.52797pt}{-9.07222pt}{137.10963pt}{-5.49055pt}{141.52797pt}{-5.49055pt}\pgfsys@lineto{150.99962pt}{-5.49055pt}\pgfsys@lineto{150.99962pt}{-22.9622pt}\pgfsys@lineto{141.52797pt}{-22.9622pt}\pgfsys@curveto{137.10963pt}{-22.9622pt}{133.52797pt}{-19.38054pt}{133.52797pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{137.60158pt}{-16.34082pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta_{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{196.32404pt}{14.22638pt}\pgfsys@curveto{196.32404pt}{16.58351pt}{194.41325pt}{18.4943pt}{192.05612pt}{18.4943pt}\pgfsys@curveto{189.69899pt}{18.4943pt}{187.78821pt}{16.58351pt}{187.78821pt}{14.22638pt}\pgfsys@curveto{187.78821pt}{11.86925pt}{189.69899pt}{9.95847pt}{192.05612pt}{9.95847pt}\pgfsys@curveto{194.41325pt}{9.95847pt}{196.32404pt}{11.86925pt}{196.32404pt}{14.22638pt}\pgfsys@closepath\pgfsys@moveto{192.05612pt}{14.22638pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{192.05612pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{196.32404pt}{-14.22638pt}\pgfsys@curveto{196.32404pt}{-11.86925pt}{194.41325pt}{-9.95847pt}{192.05612pt}{-9.95847pt}\pgfsys@curveto{189.69899pt}{-9.95847pt}{187.78821pt}{-11.86925pt}{187.78821pt}{-14.22638pt}\pgfsys@curveto{187.78821pt}{-16.58351pt}{189.69899pt}{-18.4943pt}{192.05612pt}{-18.4943pt}\pgfsys@curveto{194.41325pt}{-18.4943pt}{196.32404pt}{-16.58351pt}{196.32404pt}{-14.22638pt}\pgfsys@closepath\pgfsys@moveto{192.05612pt}{-14.22638pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{192.05612pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{238.51544pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{241.84845pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{211.77306pt}{-22.9622pt}\pgfsys@lineto{211.77306pt}{-5.49055pt}\pgfsys@lineto{221.2447pt}{-5.49055pt}\pgfsys@curveto{225.66304pt}{-5.49055pt}{229.2447pt}{-9.07222pt}{229.2447pt}{-13.49055pt}\pgfsys@lineto{229.2447pt}{-14.9622pt}\pgfsys@curveto{229.2447pt}{-19.38054pt}{225.66304pt}{-22.9622pt}{221.2447pt}{-22.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{214.0071pt}{-16.99359pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{-\underline{p}^{\prime}}^{\dagger}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-172.33919pt}{-14.9622pt}\pgfsys@lineto{-172.33919pt}{-13.49055pt}\pgfsys@curveto{-172.33919pt}{-9.07222pt}{-168.75752pt}{-5.49055pt}{-164.33919pt}{-5.49055pt}\pgfsys@lineto{-154.86754pt}{-5.49055pt}\pgfsys@lineto{-154.86754pt}{-22.9622pt}\pgfsys@lineto{-164.33919pt}{-22.9622pt}\pgfsys@curveto{-168.75752pt}{-22.9622pt}{-172.33919pt}{-19.38054pt}{-172.33919pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-169.17181pt}{-16.02138pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-121.03294pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-117.69994pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{274.56912pt}{0.0pt}\pgfsys@curveto{274.56912pt}{2.35713pt}{272.65834pt}{4.26791pt}{270.30121pt}{4.26791pt}\pgfsys@curveto{267.94408pt}{4.26791pt}{266.0333pt}{2.35713pt}{266.0333pt}{0.0pt}\pgfsys@curveto{266.0333pt}{-2.35713pt}{267.94408pt}{-4.26791pt}{270.30121pt}{-4.26791pt}\pgfsys@curveto{272.65834pt}{-4.26791pt}{274.56912pt}{-2.35713pt}{274.56912pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{270.30121pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{270.30121pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{224.28906pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{227.62207pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{338.1001pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{341.4331pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{317.24826pt}{0.0pt}\pgfsys@curveto{317.24826pt}{2.35713pt}{315.33748pt}{4.26791pt}{312.98035pt}{4.26791pt}\pgfsys@curveto{310.62321pt}{4.26791pt}{308.71243pt}{2.35713pt}{308.71243pt}{0.0pt}\pgfsys@curveto{308.71243pt}{-2.35713pt}{310.62321pt}{-4.26791pt}{312.98035pt}{-4.26791pt}\pgfsys@curveto{315.33748pt}{-4.26791pt}{317.24826pt}{-2.35713pt}{317.24826pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{312.98035pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{312.98035pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{270.30121pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{282.90495pt}{-14.9622pt}\pgfsys@lineto{282.90495pt}{-13.49055pt}\pgfsys@curveto{282.90495pt}{-9.07222pt}{286.48662pt}{-5.49055pt}{290.90495pt}{-5.49055pt}\pgfsys@lineto{300.3766pt}{-5.49055pt}\pgfsys@lineto{300.3766pt}{-22.9622pt}\pgfsys@lineto{290.90495pt}{-22.9622pt}\pgfsys@curveto{286.48662pt}{-22.9622pt}{282.90495pt}{-19.38054pt}{282.90495pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{286.97856pt}{-16.34082pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta_{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{135.04189pt}{-5.16737pt}{14.44382pt}{10.33475pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{138.3749pt}{-1.83437pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{=}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-216.24097pt}{-14.22638pt}\pgfsys@curveto{-216.24097pt}{-11.86925pt}{-218.15175pt}{-9.95847pt}{-220.50888pt}{-9.95847pt}\pgfsys@curveto{-222.86601pt}{-9.95847pt}{-224.7768pt}{-11.86925pt}{-224.7768pt}{-14.22638pt}\pgfsys@curveto{-224.7768pt}{-16.58351pt}{-222.86601pt}{-18.4943pt}{-220.50888pt}{-18.4943pt}\pgfsys@curveto{-218.15175pt}{-18.4943pt}{-216.24097pt}{-16.58351pt}{-216.24097pt}{-14.22638pt}\pgfsys@closepath\pgfsys@moveto{-220.50888pt}{-14.22638pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-220.50888pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-172.33919pt}{-22.9622pt}\pgfsys@lineto{-172.33919pt}{-5.49055pt}\pgfsys@lineto{-162.86754pt}{-5.49055pt}\pgfsys@curveto{-158.4492pt}{-5.49055pt}{-154.86754pt}{-9.07222pt}{-154.86754pt}{-13.49055pt}\pgfsys@lineto{-154.86754pt}{-14.9622pt}\pgfsys@curveto{-154.86754pt}{-19.38054pt}{-158.4492pt}{-22.9622pt}{-162.86754pt}{-22.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-170.10515pt}{-16.99359pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{-\underline{p}^{\prime}}^{\dagger}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-187.78821pt}{-14.22638pt}\pgfsys@curveto{-187.78821pt}{-11.86925pt}{-189.69899pt}{-9.95847pt}{-192.05612pt}{-9.95847pt}\pgfsys@curveto{-194.41325pt}{-9.95847pt}{-196.32404pt}{-11.86925pt}{-196.32404pt}{-14.22638pt}\pgfsys@curveto{-196.32404pt}{-16.58351pt}{-194.41325pt}{-18.4943pt}{-192.05612pt}{-18.4943pt}\pgfsys@curveto{-189.69899pt}{-18.4943pt}{-187.78821pt}{-16.58351pt}{-187.78821pt}{-14.22638pt}\pgfsys@closepath\pgfsys@moveto{-192.05612pt}{-14.22638pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-192.05612pt}{-14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-273.63422pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-270.30121pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-257.69746pt}{-14.9622pt}\pgfsys@lineto{-257.69746pt}{-13.49055pt}\pgfsys@curveto{-257.69746pt}{-9.07222pt}{-254.1158pt}{-5.49055pt}{-249.69746pt}{-5.49055pt}\pgfsys@lineto{-240.22581pt}{-5.49055pt}\pgfsys@lineto{-240.22581pt}{-22.9622pt}\pgfsys@lineto{-249.69746pt}{-22.9622pt}\pgfsys@curveto{-254.1158pt}{-22.9622pt}{-257.69746pt}{-19.38054pt}{-257.69746pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-253.62386pt}{-16.34082pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{-187.78821pt}{14.22638pt}\pgfsys@curveto{-187.78821pt}{16.58351pt}{-189.69899pt}{18.4943pt}{-192.05612pt}{18.4943pt}\pgfsys@curveto{-194.41325pt}{18.4943pt}{-196.32404pt}{16.58351pt}{-196.32404pt}{14.22638pt}\pgfsys@curveto{-196.32404pt}{11.86925pt}{-194.41325pt}{9.95847pt}{-192.05612pt}{9.95847pt}\pgfsys@curveto{-189.69899pt}{9.95847pt}{-187.78821pt}{11.86925pt}{-187.78821pt}{14.22638pt}\pgfsys@closepath\pgfsys@moveto{-192.05612pt}{14.22638pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-192.05612pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{-216.24097pt}{14.22638pt}\pgfsys@curveto{-216.24097pt}{16.58351pt}{-218.15175pt}{18.4943pt}{-220.50888pt}{18.4943pt}\pgfsys@curveto{-222.86601pt}{18.4943pt}{-224.7768pt}{16.58351pt}{-224.7768pt}{14.22638pt}\pgfsys@curveto{-224.7768pt}{11.86925pt}{-222.86601pt}{9.95847pt}{-220.50888pt}{9.95847pt}\pgfsys@curveto{-218.15175pt}{9.95847pt}{-216.24097pt}{11.86925pt}{-216.24097pt}{14.22638pt}\pgfsys@closepath\pgfsys@moveto{-220.50888pt}{14.22638pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-220.50888pt}{14.22638pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-145.5968pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-142.2638pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-90.5375pt}{-0.73582pt}\pgfsys@lineto{-90.5375pt}{0.73582pt}\pgfsys@curveto{-90.5375pt}{5.15416pt}{-86.95584pt}{8.73582pt}{-82.5375pt}{8.73582pt}\pgfsys@lineto{-73.06586pt}{8.73582pt}\pgfsys@lineto{-73.06586pt}{-8.73582pt}\pgfsys@lineto{-82.5375pt}{-8.73582pt}\pgfsys@curveto{-86.95584pt}{-8.73582pt}{-90.5375pt}{-5.15416pt}{-90.5375pt}{-0.73582pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-86.4639pt}{-2.11444pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta_{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{-54.97156pt}{-8.73582pt}\pgfsys@lineto{-54.97156pt}{8.73582pt}\pgfsys@lineto{-45.49991pt}{8.73582pt}\pgfsys@curveto{-41.08157pt}{8.73582pt}{-37.49991pt}{5.15416pt}{-37.49991pt}{0.73582pt}\pgfsys@lineto{-37.49991pt}{-0.73582pt}\pgfsys@curveto{-37.49991pt}{-5.15416pt}{-41.08157pt}{-8.73582pt}{-45.49991pt}{-8.73582pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-52.73752pt}{-2.76721pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{-\underline{p}^{\prime}}^{\dagger}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{110.47803pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{113.81104pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} { }{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{0.0pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{89.62619pt}{0.0pt}\pgfsys@curveto{89.62619pt}{2.35713pt}{87.71541pt}{4.26791pt}{85.35828pt}{4.26791pt}\pgfsys@curveto{83.00114pt}{4.26791pt}{81.09036pt}{2.35713pt}{81.09036pt}{0.0pt}\pgfsys@curveto{81.09036pt}{-2.35713pt}{83.00114pt}{-4.26791pt}{85.35828pt}{-4.26791pt}\pgfsys@curveto{87.71541pt}{-4.26791pt}{89.62619pt}{-2.35713pt}{89.62619pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{85.35828pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{85.35828pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{55.28288pt}{-14.9622pt}\pgfsys@lineto{55.28288pt}{-13.49055pt}\pgfsys@curveto{55.28288pt}{-9.07222pt}{58.86455pt}{-5.49055pt}{63.28288pt}{-5.49055pt}\pgfsys@lineto{72.75453pt}{-5.49055pt}\pgfsys@lineto{72.75453pt}{-22.9622pt}\pgfsys@lineto{63.28288pt}{-22.9622pt}\pgfsys@curveto{58.86455pt}{-22.9622pt}{55.28288pt}{-19.38054pt}{55.28288pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{59.35649pt}{-16.34082pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {{}{{}}}{{}{}}{}{{}{}} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }\pgfsys@rect{-31.78577pt}{-3.33301pt}{6.66602pt}{6.66602pt}\pgfsys@fill\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{-28.45276pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{12.60374pt}{-22.9622pt}\pgfsys@lineto{12.60374pt}{-5.49055pt}\pgfsys@lineto{22.0754pt}{-5.49055pt}\pgfsys@curveto{26.49373pt}{-5.49055pt}{30.0754pt}{-9.07222pt}{30.0754pt}{-13.49055pt}\pgfsys@lineto{30.0754pt}{-14.9622pt}\pgfsys@curveto{30.0754pt}{-19.38054pt}{26.49373pt}{-22.9622pt}{22.0754pt}{-22.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{14.83778pt}{-16.99359pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{-\underline{p}^{\prime}}^{\dagger}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor{pgffillcolor}{rgb}{0.2,0.2,0.2}\pgfsys@color@gray@fill{0.2}\pgfsys@invoke{ }{}\pgfsys@moveto{4.26791pt}{0.0pt}\pgfsys@curveto{4.26791pt}{2.35713pt}{2.35713pt}{4.26791pt}{0.0pt}{4.26791pt}\pgfsys@curveto{-2.35713pt}{4.26791pt}{-4.26791pt}{2.35713pt}{-4.26791pt}{0.0pt}\pgfsys@curveto{-4.26791pt}{-2.35713pt}{-2.35713pt}{-4.26791pt}{0.0pt}{-4.26791pt}\pgfsys@curveto{2.35713pt}{-4.26791pt}{4.26791pt}{-2.35713pt}{4.26791pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{0.0pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{0.0pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{240.22581pt}{-14.9622pt}\pgfsys@lineto{240.22581pt}{-13.49055pt}\pgfsys@curveto{240.22581pt}{-9.07222pt}{243.80748pt}{-5.49055pt}{248.22581pt}{-5.49055pt}\pgfsys@lineto{257.69746pt}{-5.49055pt}\pgfsys@lineto{257.69746pt}{-22.9622pt}\pgfsys@lineto{248.22581pt}{-22.9622pt}\pgfsys@curveto{243.80748pt}{-22.9622pt}{240.22581pt}{-19.38054pt}{240.22581pt}{-14.9622pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{243.39319pt}{-16.02138pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{\underline{p}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{201.10327pt}{-8.73582pt}\pgfsys@lineto{201.10327pt}{8.73582pt}\pgfsys@lineto{210.57492pt}{8.73582pt}\pgfsys@curveto{214.99326pt}{8.73582pt}{218.57492pt}{5.15416pt}{218.57492pt}{0.73582pt}\pgfsys@lineto{218.57492pt}{-0.73582pt}\pgfsys@curveto{218.57492pt}{-5.15416pt}{214.99326pt}{-8.73582pt}{210.57492pt}{-8.73582pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{203.33731pt}{-2.76721pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\raisebox{2.0pt}{$\chi$}{-\underline{p}^{\prime}}^{\dagger}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} {{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{ {}{}}}{ {}{}} {} {} {} {} {} {} {} {} {\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{}{{}}}{{}{}{{}}}{}{}{{}{}{{}}}{{}{}{{}}}{}{}{}\pgfsys@moveto{165.53732pt}{-0.73582pt}\pgfsys@lineto{165.53732pt}{0.73582pt}\pgfsys@curveto{165.53732pt}{5.15416pt}{169.11899pt}{8.73582pt}{173.53732pt}{8.73582pt}\pgfsys@lineto{183.00897pt}{8.73582pt}\pgfsys@lineto{183.00897pt}{-8.73582pt}\pgfsys@lineto{173.53732pt}{-8.73582pt}\pgfsys@curveto{169.11899pt}{-8.73582pt}{165.53732pt}{-5.15416pt}{165.53732pt}{-0.73582pt}\pgfsys@closepath\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{1.0}{0.0}{0.0}{1.0}{169.61093pt}{-2.11444pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{{\delta{\underline{x}^{\prime}}}} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \hss}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hbox to0.0pt{\pgfsys@beginscope\pgfsys@invoke{ }{{}}{{}} \par \par\par{{}}\hbox{\hbox{{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{{}{{{}}}{{}}{}{}{}{}{}{}{}{}{}{\pgfsys@beginscope\pgfsys@invoke{ }\definecolor[named]{pgffillcolor}{rgb}{1,1,1}\pgfsys@color@gray@fill{1}\pgfsys@invoke{ }{}\pgfsys@moveto{2.5607pt}{0.0pt}\pgfsys@curveto{2.5607pt}{1.41425pt}{1.41425pt}{2.5607pt}{0.0pt}{2.5607pt}\pgfsys@curveto{-1.41425pt}{2.5607pt}{-2.5607pt}{1.41425pt}{-2.5607pt}{0.0pt}\pgfsys@curveto{-2.5607pt}{-1.41425pt}{-1.41425pt}{-2.5607pt}{0.0pt}{-2.5607pt}\pgfsys@curveto{1.41425pt}{-2.5607pt}{2.5607pt}{-1.41425pt}{2.5607pt}{0.0pt}\pgfsys@closepath\pgfsys@moveto{0.0pt}{0.0pt}\pgfsys@fillstroke\pgfsys@invoke{ } \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}{{{{}}\pgfsys@beginscope\pgfsys@invoke{ }\pgfsys@transformcm{0.59999}{0.0}{0.0}{0.59999}{0.0pt}{0.0pt}\pgfsys@invoke{ }\hbox{{\definecolor{pgfstrokecolor}{rgb}{0,0,0}\pgfsys@color@rgb@stroke{0}{0}{0}\pgfsys@invoke{ }\pgfsys@color@rgb@fill{0}{0}{0}\pgfsys@invoke{ }\hbox{} }}\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope}}} \par \pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope{}{}{}\hss}\pgfsys@discardpath\pgfsys@invoke{\lxSVG@closescope }\pgfsys@endscope\hss}}\lxSVG@closescope\endpgfpicture}} }\!\!^{(\underline{k})}\big{)}_{\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\! be the associated non-degenerate observable on $\mathcal{H}$. Then the truncating projector $P_{\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}}$ for the quantum field is correspondingly decomposed as $P_{\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}}:=\sum_{\underline{s}}|\phi_{\underline{s}}\rangle\langle\phi_{\underline{s}}|$, where $|\phi_{\underline{s}}\rangle:=\bigotimes_{k_{1}=-\omega}^{+\omega}...\bigotimes_{k_{n}=-\omega}^{+\omega}|\phi^{(\underline{k})}_{\underline{s}(\underline{k})}\rangle$. The associated non-degenerate observable for the quantum field is given by the following unital special commutative $\dagger$-Frobenius algebra:

[TABLE]

In Sections 3 and 4, we constructed objects ${\mathcal{H}_{\,\mathbb{T}^{n}}}$ and ${\mathcal{H}_{\,\mathbb{Z}^{n}}}$ having $\,{}^{\star}\operatorname{L}^{2}[\mathbb{T}^{n}]$ and $\,{}^{\star}\operatorname{L}^{2}[\mathbb{Z}^{n}]$ as their underlying Hilbert spaces, and we considered truncating projectors obtained from the extension of a standard orthonormal basis. In Section 5, we constructed an object ${\mathcal{H}_{\,\mathbb{R}^{n}}}$ having $\,{}^{\star}\operatorname{L}^{2}[\mathbb{R}^{n}]$ as its underlying Hilbert space, but we constructed the truncating projector using a genuinely non-standard orthonormal basis. In all three cases, the underlying Hilbert space is the non-standard extension $\,{}^{\star}V$ of a separable standard Hilbert space $V$, and the connection to the traditional quantum mechanical formalism is guaranteed by Theorem 2.1. Unfortunately, Theorem 2.1 is not applicable in this Section: in order to establish a connection between $\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$ and the traditional model for quantum fields on lattices, we will formulate a suitable universal property for $\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$. In the remainder of this Section, we will assume that $|\mathcal{H}|=\,^{\star}V$ for some standard separable Hilbert space $V$.

Consider the infinite direct sum of standard Hilbert spaces $\prod_{\underline{k}\in\mathbb{Z}^{n}}V$. If $W$ is another standard Hilbert space, we say that a function \tilde{f}:\big{(}\prod_{\underline{k}\in\mathbb{Z}^{n}}V\big{)}\rightarrow W is multilinear if for each $\underline{k}\in\mathbb{Z}^{n}$ and each ${u}:\mathbb{Z}^{n}\backslash\{\underline{k}\}\rightarrow V$ the function $\left.\tilde{f}\right|_{\underline{k},{u}}:V\rightarrow W$ defined by $\left.\tilde{f}\right|_{\underline{k},{u}}(v):=\tilde{f}({u}\cup\{\underline{k}\mapsto v\})$ is linear. Now consider the non-standard extension $\prod_{\underline{k}\in\,^{\star}\mathbb{Z}^{n}}\!\!\,^{\star}V$ of the direct sum, and let $\prod_{\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\!\!\mathcal{H}$ be the object of ${}^{\star}\!\operatorname{Hilb}$ obtained by restricting non-standard internal maps $\,{}^{\star}\varphi:\,^{\star}\mathbb{Z}^{n}\!\rightarrow\!\!\,^{\star}V$ to non-standard internal maps $\,{}^{\star}\varphi:{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}\!\rightarrow\!\!\,^{\star}V$, extending the projector $P_{\mathcal{H}}$ to the direct sum $\prod_{\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\!\!\!\!\!\!\,^{\star}V$ by pointwise action. Multilinear maps \tilde{F}:\big{(}\prod_{\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\!\!\mathcal{H}\big{)}\rightarrow\mathcal{K} are defined analogously to the standard case.

Theorem 6.1** (Universal property for the infinite tensor product $\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$).**

Let $|\mathcal{H}|=\,^{\star}V$, and define \theta:\big{(}\prod_{\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\mathcal{H}\big{)}\rightarrow\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}} to be the following multilinear map:

[TABLE]

Then for every object $\mathcal{K}$ with $|\mathcal{K}|=\,^{\star}W$ and every multilinear map \tilde{F}:\big{(}\prod_{\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\mathcal{H}\big{)}\rightarrow\mathcal{K} there is a unique linear map $F:\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\rightarrow\mathcal{K}$ such that the following diagram commutes:

[TABLE]

Proof.

The map $F$ can be defined on the standard orthonormal basis of $\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$ as follows:

[TABLE]

Commutativity of Diagram 6.9 and uniqueness of $F$ are both consequences of the following equation for $\tilde{F}$, together with the observation that \theta\,\big{(}\underline{k}\mapsto|e_{\underline{s}(\underline{k})}\rangle\big{)}=\bigotimes_{k_{1}=-\omega}^{+\omega}...\bigotimes_{k_{n}=-\omega}^{+\omega}|e_{\underline{s}(\underline{k})}\rangle:

[TABLE]

Equation 6.11 itself is a consequence of Transfer Theorem, because the corresponding standard statement is valid for all standard multilinear \tilde{f}:\big{(}\prod_{\underline{k}\in\{-m,...,+m\}^{n}}V\big{)}\rightarrow W, for any choice of $m\in\mathbb{N}$. ∎

7 Quantum fields in real space

In Section 5, we have seen that there are so many non-standard rational numbers that the standard reals can be approximated with ease by considering an infinite lattice with infinitesimal mesh. In Section 6, we have seen that there are so many non-standard integers that quantum fields on lattices can be modelled in our framework. In this Section, we will put both tricks together to show that, in fact, quantum fields on unbounded real space can also be modelled in our framework (a similar argument applies to tori).

Consider again an object $\mathcal{H}:=(|\mathcal{H}|,P_{\mathcal{H}})$ of ${}^{\star}\!\operatorname{Hilb}$, with $P_{\mathcal{H}}:=\sum_{d=1}^{D}|e_{d}\rangle\langle e_{d}|$ for some orthonormal family $|e_{d}\rangle_{d=1}^{D}$. We fix two odd infinite natural numbers $\omega_{uv},\omega_{ir}\in\,^{\star}\mathbb{N}$, and let $2\omega+1:=\omega_{uv}\omega_{ir}$. We wish to construct the system $\mathcal{H}^{\otimes\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$ corresponding to a $\mathcal{H}$-valued quantum field living on the lattice $\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ in $\,{}^{\star}\mathbb{R}^{n}$, which we have seen in Section 5 to approximate the real space $\mathbb{R}^{n}$ to infinitesimal mesh $\frac{1}{\omega_{uv}}$ (and all the way up to some infinity $\omega_{ir}$, where the lattice “circles around”).

As objects of ${}^{\star}\!\operatorname{Hilb}$, the space $\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$ we constructed in the previous Section and the space $\mathcal{H}^{\otimes\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$ we wish to construct in this Section are isomorphic: to see this, it suffices to consider the isomorphism of abelian groups sending $\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ to $\underline{p}:=\frac{1}{\omega_{uv}}\underline{k}\in\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$. As a consequence, the only formal distinction is that we will write our summations over $\underline{p}$ rather than $\underline{k}$, i.e. we will use the same shorthand $\sum_{p=-\omega_{ir}}^{+\omega_{ir}}f(p):\equiv\sum_{k=-\omega}^{+\omega}f(k/\omega_{uv})$ that we introduced in Section 5.

When it comes to quantum field theory, however, the two objects $\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$ and $\mathcal{H}^{\otimes\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$ have very different interpretations, corresponding to the different ways in which the underlying lattice is immersed into $n$-dimensional non-standard real space $\,{}^{\star}\mathbb{R}^{n}$ (and successively related to standard real space $\mathbb{R}^{n}$). In the previous Section, the underlying lattice was embedded as the lattice ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ of standard mesh $1$ in $\,{}^{\star}\mathbb{R}^{n}$, while in this section the underlying lattice is embedded as the lattice $\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$of infinitesimal mesh $\frac{1}{\omega_{uv}}$. From the perspective of non-standard reals, the two lattices are equivalent (rescaling by a factor of $\omega_{uv}\in\,^{\star}\mathbb{R}$), but from the perspective of standard reals they are extremely different: restricting to near-standard reals and quotienting by infinitesimal equivalence sends ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ to the lattice $\mathbb{Z}^{n}$, while $\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ covers the entirety of $\mathbb{R}^{n}$. We now provide justification for the interpretation of $\mathcal{H}^{\otimes\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$ as a space of quantum fields on real space.

Just as we did in the previous Section, we will assume that $|\mathcal{H}|=\,^{\star}V$ for separable standard $V$. Consider the direct integral of Hilbert spaces $\int_{\mathbb{R}^{n}}^{\oplus}\,V\,d\underline{p}$ (in the sense of von Neumann [19]), i.e. the space of square-integrable functions $\varphi:\mathbb{R}^{n}\rightarrow V$, together with the inner product $\langle\psi|\varphi\rangle:=\int_{\mathbb{R}^{n}}\,\langle\psi(\underline{p})|\varphi(\underline{p})\rangle\,d\underline{p}$. Consider its non-standard extension, and let $\prod_{\underline{p}\in\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\!\!\!\!\!\mathcal{H}$ be the object obtained by restricting non-standard internal maps $\,{}^{\star}\varphi:\,^{\star}\mathbb{R}^{n}\rightarrow V$ to non-standard internal maps $\,{}^{\star}\varphi:\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}\rightarrow V$, and appropriately extending the projector $P_{\mathcal{H}}$ to the direct sum $\prod_{\underline{p}\in\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\!\!\!\!\!\!\,^{\star}V$.

The universal property for the infinite tensor product $\mathcal{H}^{\otimes\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$ takes a form similar to that of Theorem 6.1, and has a similar proof: one only needs to use $\prod_{\underline{p}\in\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\mathcal{H}$ in place of the original $\prod_{\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\mathcal{H}$. The non-trivial part is the connection between $\prod_{\underline{p}\in\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\mathcal{H}$ and the direct integral $\int_{\mathbb{R}^{n}}^{\oplus}\,V\,d\underline{p}$. In the previous Section, the connection between $\prod_{\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\mathcal{H}$ and the direct sum $\prod_{\underline{k}\in\mathbb{Z}^{n}}V$ was immediate: a function $\varphi:\mathbb{Z}^{n}\rightarrow V$ extends to a function $\,{}^{\star}\varphi:\,^{\star}\mathbb{Z}^{n}\rightarrow\,^{\star}V$, which then restricts to $\,{}^{\star}\varphi:{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}\rightarrow\,^{\star}V$ and then back to $\varphi:\mathbb{Z}^{n}\rightarrow V$. In this Section, we note that $\int_{\mathbb{R}^{n}}^{\oplus}\,V\,d\underline{p}$ is the $L^{2}$ completion of the space of continuous square-integrable functions $\varphi:\mathbb{R}^{n}\rightarrow V$, so it is enough to show that these can be reconstructed from the corresponding $\,{}^{\star}\varphi:\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}\rightarrow\,^{\star}V$. But this is indeed the case: if $\varphi$ is continuous then we have that $\operatorname{st}(x)=\operatorname{st}(y)$ implies $\operatorname{st}(\,^{\star}\varphi(x))=\operatorname{st}(\,^{\star}\varphi(y))$, and in particular we can obtain $\varphi$ back from $\,{}^{\star}\varphi$ in a unique way by setting $\varphi(z):=\operatorname{st}(\,^{\star}\varphi(x))$ for any $x\in\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ such that $\operatorname{st}(x)=z$.

8 Towards Quantum Field Theory in Categorical Quantum Mechanics

A legitimate question to ask at this point is: How does Quantum Field Theory fit into the framework we described? Why are we talking about “quantum fields” in the context of certain infinite tensor products?

As part of canonical quantisation, classical fields from the Lagrangian formalism are translated into certain operator-valued distributions, also known as field operators, acting upon quantum states living in a Fock space. Using the field operators, the classical Lagrangian can be translated into the dynamics and interactions of the quantum field theory, so it is no surprise that they occupy the vast majority of the literature dedicated to the subject.

It is worth noting, however, that the field operators play a very different role from the classical fields that they originally quantised: classical fields are states of a classical system, while field operators act upon states of a quantum system (e.g. the vacuum). In this sense, the closest correspondents in quantum field theory to the fields of classical field theory or the wavefunctions of quantum mechanics are, in fact, the quantum states in the Fock space. Just as $\mathbb{C}^{2}$ is the space of quantum states for a qubit, so the Fock space is the space of quantum states for a quantum field. And just as we freely refer to the object $\mathbb{C}^{2}$ as a qubit, so we take the liberty to refer to the Fock space as a quantum field. We will use the term field operator when talking about the operator-valued distributions obtained by canonical quantisation.

Let’s consider the textbook example of the real scalar field, a relativistic classical field $\phi(\underline{x},t)$ satisfying the Klein-Gordon equation:

[TABLE]

When looking at the field in momentum space $\phi(\underline{p},t)$, the Klein-Gordon equation becomes:

[TABLE]

Hence a momentum space solution $\phi(\underline{p},t)$ to the Klein-Gordon equation can be thought of as a field of simple harmonic oscillators, each oscillator vibrating with its own amplitude and at a frequency given by $\nu_{\underline{p}}:=\sqrt{|\underline{p}|^{2}+m^{2}}$ for each point $\underline{p}\in\mathbb{R}^{3}$ of momentum space. In order to quantise the real scalar field $\phi$, we simply need to quantise the simple harmonic oscillators. We do so in our non-standard framework.

Consider the object $\mathcal{H}$ of ${}^{\star}\!\operatorname{Hilb}$ defined as follows, where $\tau$ is some infinite non-standard natural and $|n\rangle_{n\in\,^{\star}\mathbb{N}}$ is the standard orthonormal basis for $\,{}^{\star}\operatorname{L}^{2}[\mathbb{N}]$:

[TABLE]

We will think of $\mathcal{H}$ as the non-standard counterpart for a quantum harmonic oscillator: the states $|n\rangle$ correspond to energy eigenstates for the oscillator, and we extended our range of energy values all the way up to some infinite natural $\tau$. We define the ladder operators $a$ and $a^{\dagger}$ on $\mathcal{H}$ as follows:

[TABLE]

It is easy to check that these operators satisfy the usual canonical commutation relations, up to a correction factor accounting for the truncation of energy above the infinite $\tau$:

[TABLE]

When restricting ourselves to finite energy states, these operators are exactly the ladder operators for the quantum harmonic oscillator. We then proceed to define the number operator $N:=a^{\dagger}a$, and we obtain the usual property and commutators for it (no correction this time):

[TABLE]

The number operator is associated to a $\dagger$-SCFA on $\mathcal{H}$, the number observable, with $|n\rangle$ as classical states. For a quantum harmonic oscillator of frequency $\nu$, the Hamiltonian can finally be defined as:

[TABLE]

Aside perhaps for the correction term in the canonical commutation relation, this is exactly what we would expect the non-standard version of the quantum harmonic oscillator to look like, and the traditional quantum harmonic oscillator is recovered exactly by restricting to states of finite energy.

We saw before that a solution to the Klein-Gordon can be interpreted to describe a field of simple harmonic oscillators at each point $\underline{p}\in\mathbb{R}^{3}$ of momentum space, vibrating independently with frequencies given by the expression $\nu_{\underline{p}}=\sqrt{|\underline{p}|^{2}+m^{2}}$. The natural quantisation of such a scenario involves considering independent quantum harmonic oscillators at each point $\underline{p}\in\mathbb{R}^{3}$ of momentum space, i.e. an infinite direct product of separable Hilbert spaces over the 3-dimensional continuum. Because such a space would be mathematically unwieldy, and because only finite energy states are deemed to be physically interesting, the infinite direct product of quantum harmonic oscillators is never constructed, and the Fock space is considered instead. The Fock space is the Hilbert space of joint states for the quantum harmonic oscillators which is spanned by those separable states involving only finitely many oscillators not in their ground state: the state $|n\rangle$ for the oscillator at point $\underline{p}\in\mathbb{R}^{3}$ is considered to count the number of quantum particles with definite momentum $\underline{p}$, and the Fock space is spanned by all states containing finitely many particles.

Within our non-standard framework, we don’t have to worry about infinite tensor products, and we don’t have to restrict ourselves to finite energy states or finite number of particles: as a consequence, we quantise the real scalar field $\phi$ by constructing the field of quantum harmonic oscillators in all its glory. This can be done by considering the space $\mathcal{H}^{\otimes\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{3}}}$ defined in Section 7 above: we discretise momentum space to an infinite lattice $\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{3}}$ of infinitesimal mesh $1/\omega_{uv}$, and we place an independent quantum harmonic oscillator $\mathcal{H}$ at each point of the lattice (with varying frequency $\nu_{\underline{p}}$).

For each $\underline{p}\in\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{3}}$, we write $a_{\underline{p}}$ and $a^{\dagger}_{\underline{p}}$ for the ladder operators acting on the quantum Harmonic oscillator at $\underline{p}$ (tensored with the identity on all other oscillators), and $|n,\underline{p}\rangle_{n=0}^{\tau}$ for the orthonormal basis of the oscillator at $\underline{p}$. We define the rescaled versions $a(\underline{p}):=\sqrt{\omega_{uv}^{3}}a_{\underline{p}}$ and $a^{\dagger}(\underline{p}):=\sqrt{\omega_{uv}^{3}}a^{\dagger}_{\underline{p}}$, which satisfy the commutation relations $[a(\underline{p}),a(\underline{q})]=[a^{\dagger}(\underline{p}),a^{\dagger}(\underline{q})]=0$ and:

[TABLE]

The usual field operators $\pi(\underline{x})$ and $\phi(\underline{x})$ can be defined from $a(\underline{p})$ and $a^{\dagger}(\underline{p})$ through the following discretised integral, for all points $\underline{x}\in\frac{1}{\omega_{ir}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{3}}$ in space:

[TABLE]

The field operators satisfy commutation relations similar to the ones of the rescaled ladder operators, as would be expected. For every $\textbf{n}:\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{3}}\rightarrow\{0,...,\tau\}$, we can define the state $|\textbf{n}\rangle:=\otimes_{\underline{p}}|\textbf{n}(\underline{p}),\underline{p}\rangle$. Then the discretised integral of the (rescaled) number observables for all quantum harmonic oscillators at all points $\underline{p}\in\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{3}}$ of momentum space gives rise to the number operator $N$ on $\mathcal{H}^{\otimes\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{3}}}$:

[TABLE]

The Hamiltonian for the quantum field is similarly obtained as a discretised integral:

[TABLE]

The traditional Fock space is recovered by considering the states $|\textbf{n}\rangle$ with finite energy $\langle\textbf{n}|H|\textbf{n}\rangle$ (i.e. those with a finite number of particles, all having finite momenta). The corresponding number of particles at a standard point $\underline{q}\in\mathbb{R}^{3}$ of standard momentum space, which we will denote by $\operatorname{st}(\textbf{n})(\underline{q})$, is then given by the following expression:

[TABLE]

The further development of traditional QFT machinery within our framework is left to future work.

9 Conclusions and Future Work

In the first section of this work, we have presented a more mature formulation of the category ${}^{\star}\!\operatorname{Hilb}$, refining and expanding the original definition from Ref. [12] in a number of ways. Firstly, the new definition is no longer restricted to standard Hilbert spaces and non-standard extensions of standard orthonormal bases, but instead allows all kinds of non-standard Hilbert spaces and orthonormal families. Secondly, the new definition is basis-independent and has a neater categorical presentation as a full sub-category of the Karoubi envelope for the category of non-standard Hilbert spaces. Thirdly, objects are no longer self-dual, and compact closure is now formulated in a basis-independent way, analogous to the one used in $\operatorname{fHilb}$. Backward compatibility is guaranteed by the fact that the category ${}^{\star}\!\operatorname{Hilb}$ originally defined in Ref. [12] is equivalent to a full-subcategory of the category ${}^{\star}\!\operatorname{Hilb}$ redefined in this work.

Our new definition allowed us to push the framework beyond its original limitations, and the bulk of this work was dedicated to the explicit constructions of five families of infinite-dimensional quantum systems that are of interest to the practising quantum theorist. In Sections 3 and 4 we have presented the quantum systems for particles in boxes with periodic boundary conditions and particles on lattices: both constructions were already within reach of the original definition of ${}^{\star}\!\operatorname{Hilb}$, and the special case of a particle in a one-dimensional box with periodic boundary conditions was already explored in Ref. [12]. The first real application of our extended ${}^{\star}\!\operatorname{Hilb}$ category has come in Section 5, where it was put to work in presenting the quantum system for particles in $\mathbb{R}^{n}$. Key to this construction have been the use of a truly non-standard orthonormal basis (i.e. not the extension of a standard one), together with an approximation of $\mathbb{R}^{n}$ achieved by using a non-standard lattice of infinitesimal mesh in $\,{}^{\star}\mathbb{R}^{n}$.

We have also seen that our extended definition allows for the treatment of certain cases of interest in quantum field theory. Thanks to a key observation about exponentials of infinite natural numbers—which are themselves infinite natural numbers by Transfer Theorem—and exploiting the freedom to work with non-separable spaces, we have constructed in Section 6 a quantum system suitable for the treatment of quantum fields on a cubic lattice $\mathbb{Z}^{n}$. Finally, in Section 7 we have combined the ideas of Sections 5 and 6 to construct a quantum system suitable for the treatment of quantum fields in $\mathbb{R}^{n}$, and in Section 8 we have provided a first direct link to the traditional quantum field theoretic framework.

This work is a significant development of the original Ref. [12], and provides a solid basis for the application of algebraic and diagrammatic methods from CQM to infinite-dimensional quantum mechanics and quantum field theory. From here, we foresee a number of interesting further developments and applications, some of which are briefly detailed below.

Future work.

To begin with, an extension of Theorem 2.1 to the entirety of ${}^{\star}\!\operatorname{Hilb}$ should be a priority in future developments, as it would establish a uniformly tight relationship between our framework and more traditional approaches to quantum mechanics and quantum field theory. In the same spirit of relating to mainstream works, we endeavour to explicitly construct more quantum systems of widespread interest—such as wavefunctions/fields over locally compact groups—and to explore more sophisticated applications to quantum field theory and quantum gravity (e.g. constructing analogues of algebraic quantum field theory and introducing Feynman diagrams).

On a different note, we believe that it would be extremely interesting to analyse the natural infinite-dimensional extension of a number of quantum protocols already formalised in CQM. Examples might include simple protocols—such as quantum teleportation and quantum key distribution—or more elaborate protocols—such as the generalised Mermin-type non-locality arguments of Ref. [14], and infinite-dimensional extensions of the work on tight reference-frame-independent quantum teleportation of Ref. [26]. To kick-start this line of research, an application of ${}^{\star}\!\operatorname{Hilb}$ to the Hidden Subgroup Problem for the infinite group $\mathbb{Z}^{n}$ has already appeared in Ref. [13], based on the original ${}^{\star}\!\operatorname{Hilb}$ from Ref. [12].

Acknowledgements.

The authors would like to thank Samson Abramsky, Bob Coecke, David Reutter and Masanao Ozawa for comments, suggestions and useful discussions, as well as Sukrita Chatterji and Nicolò Chiappori for their support. SG gratefully acknowledges funding from EPSRC and the Williams Scholarship offered by Trinity College. FG gratefully acknowledges funding from the AFSOR grant “Algorithmic and logical aspects when composing meaning”.

Appendix A The non-standard cyclic group ${\,{}^{\star}\mathbb{Z}_{2\omega+1}}$

The abelian group ${\,{}^{\star}\mathbb{Z}_{2\omega+1}}$ is defined to be the internal set of non-standard integers $\{-\omega,...,+\omega\}$ endowed with [math] as unit and with the following binary operation $\oplus$ as group multiplication:

[TABLE]

The group ${\,{}^{\star}\mathbb{Z}_{2\omega+1}}$ has the integers as a subgroup: if $k,h\in\mathbb{Z}$ are standard integers, then certainly $-\omega\leq k+h\leq+\omega$, and hence $k\oplus h=k+h$. More in general, the group $({\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}},\oplus,\underline{0})$ contains $\mathbb{Z}^{n}$ as a subgroup, and as a consequence it is a legitimate non-standard extension of the translation group $\mathbb{Z}^{n}$ of an $n$-dimensional lattice. Furthermore, the group of automorphisms of ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ contains the group of automorphisms of $\mathbb{Z}^{n}$ as a subgroup (rotations and reflections about the origin are the same, but there are more translations of ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ than there are of $\mathbb{Z}^{n}$).

It is not hard to show that ${\,{}^{\star}\mathbb{Z}_{2\omega+1}}\cong\mathbb{Z}\times C$ for some dense abelian group $C$. As the elements of $C$, we take exactly one representative from each full copy of $\mathbb{Z}$ in $\{-\omega,+\omega\}$, plus a single element representing both the final segment $+\omega-\mathbb{N}$ and the initial segment $-\omega+\mathbb{N}$. For each full copy of $\mathbb{Z}$, we take the representative to be the zero element of that copy, and in particular we let $0_{C}:=0$ (the zero element of the standard integers). Furthermore, we imagine the final segment $+\omega-\mathbb{N}$ and the initial segment $-\omega+\mathbb{N}$ as glued together to form a single copy of $\mathbb{Z}$, and without loss of generality we pick the representative to be $-\omega$ (so that $-\omega$ is the zero element for that that virtual copy of the integers). Given these considerations, we can always decompose $k\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}}$ uniquely as $(k^{\prime},\theta_{k})$ in terms of a standard integer component $k^{\prime}\in\mathbb{Z}$ and a representative $\theta_{k}\in C$:

[TABLE]

The standard integer components can be added independently of the representatives in $C$ (with some care taken for the boundary case of $\theta_{k}=-\omega$), so that this defines a group isomorphism ${\,{}^{\star}\mathbb{Z}_{2\omega+1}}\cong\mathbb{Z}\times C$. Also, recall that the infinite positive and negative integers form two dense, uncountable sets, each having no maximum or minimum, and with the finite integers $\mathbb{Z}$ in between [24]: as a consequence, the group $C$ is dense and uncountable (but, unlike the non-standard integers, it is not totally ordered).

There are three different embeddings of the periodic non-standard cubic lattice ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ that are of interest in this work, reflecting distinct applications to the modelling of cubic lattices $\mathbb{Z}^{n}$, the approximation of real space $\mathbb{R}^{n}$, and the approximation of real toroidal space $\mathbb{T}^{n}$:

1. (i)

the embedding as the lattice ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ in $\,{}^{\star}\mathbb{R}^{n}$, where we send $\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ to $\underline{k}\in\,^{\star}\mathbb{R}^{n}$ (not a subgroup); 2. (ii)

the embedding as the lattice $\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ in $\,{}^{\star}\mathbb{R}^{n}$, where $\omega:=\omega_{uv}\omega_{ir}$ for some infinite $\omega_{uv},\omega_{ir}\in\,^{\star}\mathbb{N}^{+}$ and we send $\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ to $\underline{p}:=\underline{k}/\omega_{uv}\in\,^{\star}\mathbb{R}^{n}$ (also not a subgroup); 3. (iii)

the embedding as the subgroup $\frac{1}{2\omega+1}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ in $\,{}^{\star}\mathbb{T}^{n}$, where we send $\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ to $\frac{1}{2\omega+1}\underline{k}\in\,^{\star}\mathbb{T}^{n}$.

The first embedding uses ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ to approximate $\mathbb{Z}^{n}$, under the observation that the latter is a subgroup of the former. The second embedding instead uses ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ to approximate $\mathbb{R}^{n}$: this is a bit more complicated, as $\mathbb{R}^{n}$ cannot be seen as a subgroup of ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ (the latter is discrete, while the former is dense). However, we can consider the subgroup of ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ given by those $\underline{k}$ such that $\underline{p}:=\underline{k}/\omega_{uv}$ is a near-standard vector in $\,{}^{\star}\mathbb{R}^{n}$, and we can quotient it by infinitesimal equivalence of vectors to obtain the group $\mathbb{R}^{n}$. Hence the second embedding can be seen to approximate $\mathbb{R}^{n}$ by using a non-standard lattice of infinitesimal mesh, and working up to infinitesimal equivalence. The third embedding is used similarly to the second embedding, but to approximate $\mathbb{T}^{n}$ instead of $\mathbb{R}^{n}$ (with a quotient group homomorphism $\frac{1}{2\omega+1}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}\twoheadrightarrow\mathbb{T}^{n}$).

It should be noted that $\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ is a lattice, and as such it does not enjoy the same symmetries of the continuum $\mathbb{R}^{n}$: finite translations can be approximated up to infinitesimals, but rotations cannot. This is in contrast to the ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ case, the automorphisms of which contain the automorphisms of $\mathbb{Z}^{n}$ as a subgroup. When working with quantum systems, however, we are not really interested in the symmetries $\Phi$ of $\mathbb{R}^{n}$, but rather in the unitary automorphisms $U_{\Phi}$ of $\operatorname{L}^{2}[\mathbb{R}^{n}]$ that they induce: because the subspace defined by the truncating projector $P_{\mathcal{H}_{\,\mathbb{R}^{n}}}$ spans the near-standard vectors, all these unitaries lift from $\operatorname{L}^{2}[\mathbb{R}^{n}]$ to ${\mathcal{H}_{\,\mathbb{R}^{n}}}$. From the point of view of the non-standard quantum system ${\mathcal{H}_{\,\mathbb{R}^{n}}}$, it is “as if” $\frac{1}{\omega_{uv}}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$ really possessed all the symmetries of $\mathbb{R}^{n}$.

Appendix B Delta functions, plane waves and position/momentum cut-offs

We present here the proof that the position eigenstates $|\delta_{\underline{x}}\rangle$ defined in Section 3 are the classical states888Here we only give the proof for the copy condition of
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|$$:=$$|\delta_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{q}}|$$U_{\underline{x}}$$V_{\underline{p}}$$\delta_{\underline{x}^{\prime}}$$\operatorname{st}$$=$$\operatorname{st}$$=$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$V_{\underline{p}}U_{\underline{x}}$$e^{i2\pi\underline{p}\cdot\underline{x}}\;U_{\underline{x}}V_{\underline{p}}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$=$$\raisebox{2.0pt}{\chi}^{\dagger}_{-\underline{p}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$=$$\operatorname{st}$$\operatorname{st}$$=$$\delta_{\underline{x}^{\prime}}$$=$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\delta_{\underline{x}^{\prime}}$$=$$\delta_{\underline{x}^{\prime}}$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$=$$\delta_{\underline{x}^{\prime}}$$=$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\delta_{\underline{x}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\delta_{\underline{x}^{\prime}}$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\delta_{\underline{x}^{\prime}}$$:=$$\sum\limits_{\underline{s}}\langle\phi_{\underline{s}}|$$:=$$\sum\limits_{\underline{s}}|\phi_{\underline{s}}\rangle\otimes|\phi_{\underline{s}}\rangle\otimes\langle\phi_{\underline{s}}|$$\prod\limits_{\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\!\!\!\!\mathcal{H}$$\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$$\mathcal{K}$$\theta$$F$$\tilde{F}

-classical states, but the proofs for the delete and transpose conditions defining
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|$$:=$$|\delta_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{q}}|$$U_{\underline{x}}$$V_{\underline{p}}$$\delta_{\underline{x}^{\prime}}$$\operatorname{st}$$=$$\operatorname{st}$$=$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$V_{\underline{p}}U_{\underline{x}}$$e^{i2\pi\underline{p}\cdot\underline{x}}\;U_{\underline{x}}V_{\underline{p}}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$=$$\raisebox{2.0pt}{\chi}^{\dagger}_{-\underline{p}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$=$$\operatorname{st}$$\operatorname{st}$$=$$\delta_{\underline{x}^{\prime}}$$=$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\delta_{\underline{x}^{\prime}}$$=$$\delta_{\underline{x}^{\prime}}$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$=$$\delta_{\underline{x}^{\prime}}$$=$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\delta_{\underline{x}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\delta_{\underline{x}^{\prime}}$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\delta_{\underline{x}^{\prime}}$$:=$$\sum\limits_{\underline{s}}\langle\phi_{\underline{s}}|$$:=$$\sum\limits_{\underline{s}}|\phi_{\underline{s}}\rangle\otimes|\phi_{\underline{s}}\rangle\otimes\langle\phi_{\underline{s}}|$$\prod\limits_{\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\!\!\!\!\mathcal{H}$$\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$$\mathcal{K}$$\theta$$F$$\tilde{F}

-classical states follow similar lines. for the group algebra
\sum\limits_{n=1}^{\dim{\mathcal{H}}}|\xi_{n}\rangle\otimes|e_{n}\rangle$$:=$$:=$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle e_{n}|\otimes\langle\xi_{n}|$$\sum\limits_{n=1}^{\dim{\mathcal{H}}}\langle\xi_{n}|\xi_{n}\rangle\otimes\langle e_{n}|e_{n}\rangle$$=$$=$$\dim{\mathcal{H}}$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{k}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\raisebox{2.0pt}{\chi}_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{k}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{h}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}\langle\delta_{\underline{k}}|$$:=$$\sum\limits_{k_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n}=-\omega}^{+\omega}|\delta_{\underline{k}}\rangle\otimes|\delta_{\underline{k}}\rangle\otimes\langle\delta_{\underline{k}}|$$:=$$|\delta_{\underline{0}}\rangle$$:=$$\sum\limits_{k_{1},h_{1}=-\omega}^{+\omega}...\sum\limits_{k_{n},h_{n}=-\omega}^{+\omega}|\delta_{\underline{k}\oplus\underline{h}}\rangle\otimes\langle\delta_{\underline{k}}|\otimes\langle\delta_{\underline{h}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$\sum\limits_{p_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes|\raisebox{2.0pt}{\chi}_{\underline{p}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|$$:=$$|\raisebox{2.0pt}{\chi}_{\underline{0}}\rangle$$:=$$\sum\limits_{p_{1},q_{1}=-\omega_{ir}}^{+\omega_{ir}}...\sum\limits_{p_{n},q_{n}=-\omega_{ir}}^{+\omega_{ir}}|\raisebox{2.0pt}{\chi}_{\underline{p}\oplus\underline{q}}\rangle\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{p}}|\otimes\langle\raisebox{2.0pt}{\chi}_{\underline{q}}|$$U_{\underline{x}}$$V_{\underline{p}}$$\delta_{\underline{x}^{\prime}}$$\operatorname{st}$$=$$\operatorname{st}$$=$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$V_{\underline{p}}U_{\underline{x}}$$e^{i2\pi\underline{p}\cdot\underline{x}}\;U_{\underline{x}}V_{\underline{p}}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$=$$\raisebox{2.0pt}{\chi}^{\dagger}_{-\underline{p}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$=$$\operatorname{st}$$\operatorname{st}$$=$$\delta_{\underline{x}^{\prime}}$$=$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\delta_{\underline{x}^{\prime}}$$=$$\delta_{\underline{x}^{\prime}}$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$=$$\delta_{\underline{x}^{\prime}}$$=$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\delta_{\underline{x}^{\prime}}$$\delta_{\underline{x}^{\prime}}$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\delta_{\underline{x}^{\prime}}$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\raisebox{2.0pt}{\chi}_{\underline{p}^{\prime}}$$\raisebox{2.0pt}{\chi}_{-\underline{p}^{\prime}}^{\dagger}$$\delta_{\underline{x}^{\prime}}$$:=$$\sum\limits_{\underline{s}}\langle\phi_{\underline{s}}|$$:=$$\sum\limits_{\underline{s}}|\phi_{\underline{s}}\rangle\otimes|\phi_{\underline{s}}\rangle\otimes\langle\phi_{\underline{s}}|$$\prod\limits_{\underline{k}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}\!\!\!\!\mathcal{H}$$\mathcal{H}^{\otimes{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}}$$\mathcal{K}$$\theta$$F$$\tilde{F}

of ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$, exactly when $\underline{x}\in\frac{1}{2\omega+1}{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$:

[TABLE]

In the third line, the extra phase $e^{i2\pi(2\omega+1)\underline{s}\cdot\underline{x}}$ appears because \raisebox{2.0pt}{\chi}_{\underline{k}} is a character of $\mathbb{Z}^{n}$, not of ${\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$: the value of $\underline{s}\in\{-1,0,+1\}^{n}$ keeps track of whether some modular reductions were necessary to go from $\underline{k}\oplus(\underline{n}\ominus\underline{k})$ to $\underline{n}$. It is cancelled out if and only if we require $\underline{x}$ to be in the form $\underline{x}=\underline{j}\frac{1}{2\omega+1}$, for some $\underline{j}\in{\,{}^{\star}\mathbb{Z}_{2\omega+1}^{n}}$. Hence the duality between the large-scale cut-off for momenta and the small-scale cut-off for positions, a well-understood phenomenon in quantum mechanics, arises as a consequence of a purely algebraic requirement in our non-standard framework. Similar phases appear for the setups of Section 4 and Section 5, with similar large/small-scale dualities following from the algebraic requirement of copiability for classical states.