Holomorphy of the scattering matrix with respect to \(c^{-2}\) for Dirac operators and an explicit treatment of relativistic corrections

DOI10.1007/BF02101099zbMath0752.35043OpenAlexW2006026617MaRDI QIDQ1189230

W. Bulla, Friedrich Gesztesy, Karl Unterkofler

Publication date: 26 September 1992

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

Full work available at URL: https://doi.org/10.1007/bf02101099

zbMATH Keywords

transmission coefficientsFoldy-Wouthuysen scattering theory

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (3)

High‐energy and smoothness asymptotic expansion of the scattering amplitude for the Dirac equation and application ⋮ High-energy behavior of the scattering amplitude for a Dirac operator ⋮ Relativistic correlations for the scattering matrix for spherically symmetric potentials

Cites Work

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• Perturbation of pseudoresolvents and analyticity in \(1/c\) in relativistic quantum mechanics
• Scattering theory for differential operators. I: Operator theory
• Scattering theory for differential operators. II: Self-adjoint elliptic operators
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• EIGENFUNCTION EXPANSIONS AND THE ASSOCIATED SCATTERING THEORY FOR POTENTIAL PERTURBATIONS OF THE DIRAC EQUATION
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