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Friedel formula and Krein's theorem in complex potential scattering theory

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arxiv 2202.12465 v1 pith:ZIUHLGEF submitted 2022-02-25 cond-mat.other hep-phnucl-th

Peng Guo , Vladimir Gasparian This is my paper · ORCID
classification cond-mat.otherhep-phnucl-th
keywords kreintheoremcomplexdiscussedformulafriedelpotentialscattering
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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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Cited by 1 Pith paper

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  1. Toward extracting scattering phase shift from integrated correlation functions IV: Coulomb corrections

    hep-lat 2025-06 conditional novelty 6.0 of 10

    By subtracting the pure-Coulomb correlation function from the Coulomb-plus-short-range one, the authors derive a divergence-free integral relation to short-range phase shifts and verify it in an exactly solvable model.

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