s-Parameterized Fock Space Projectors Gained via General Ordering Theorem
F. Sh\"ahandeh, M. R. Bazrafkan M. Ashrafi
TL;DR
This paper develops a new method for expanding Fock space projectors using the general ordering theorem, leading to novel integral formulas for incomplete 2-dimensional Hermite polynomials.
Contribution
It introduces a t-ordered expansion of Fock space projectors via the general ordering theorem and derives new integral formulas for incomplete 2D Hermite polynomials.
Findings
Derived t-ordered expansion of Fock space projectors
Established new integral formulas for incomplete 2D Hermite polynomials
Applied operational methods to quantum optical operators
Abstract
Employing the general ordering theorem, operational methods and the incomplete 2-dimensional Hermite polynomials we have derived the t-ordered expansion of the Fock space projectors. Using the result, a new integration formula regarding incomplete 2-dimensional Hermite polynomials is obtained.
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Taxonomy
TopicsRandom Matrices and Applications · Quantum Computing Algorithms and Architecture · Quantum Information and Cryptography