Friedel formula and Krein's theorem in complex potential scattering theory
Peng Guo, Vladimir Gasparian
TL;DR
This paper generalizes Friedel's formula and Krein's theorem within complex potential scattering theory, exploring symmetry constraints and including the Muskhelishvili-Omnès representation to deepen understanding of scattering phenomena.
Contribution
It introduces a generalized framework for Friedel's formula and Krein's theorem in complex potentials, incorporating symmetry effects and the Muskhelishvili-Omnès representation.
Findings
Generalization of Friedel's formula for complex potentials
Extension of Krein's theorem considering symmetry constraints
Inclusion of Muskhelishvili-Omnès representation in scattering theory
Abstract
In this work, the generalization of Friedel formula and Krein's theorem in complex potential scattering theory is presented. The consequence of various symmetry constraints on dynamical system are discussed. In addition, Muskhelishvili-Omn\`es representation of Krein's theorem is also given and discussed.
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Taxonomy
TopicsQuantum Mechanics and Non-Hermitian Physics · Quantum chaos and dynamical systems · Nonlinear Waves and Solitons