Relativistic Lippmann–Schwinger equation as an integral equation

DOI10.1142/S0129055X19500326zbMath1432.81060OpenAlexW2940567870MaRDI QIDQ5215412

Lev A. Sakhnovich

Publication date: 10 February 2020

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129055x19500326

zbMATH Keywords

compact operatorDirac equationscattering operatorwave operatorRollnik classrelativistic Lippmann-Schwinger equationrelativistic scattering amplitude

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Spectrum, resolvent (47A10) Operator spaces and completely bounded maps (46L07) Perturbation theories for operators and differential equations in quantum theory (81Q15) (S)-matrix theory, etc. in quantum theory (81U20) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20)

Cites Work

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• Scattering theory for graphs isomorphic to a regular tree at infinity
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• Integral equations with difference kernels on finite intervals

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