High-energy behavior of the scattering amplitude for a Dirac operator

DOI10.2977/prims/1195163600zbMath0868.35083OpenAlexW2033163684MaRDI QIDQ1918534

Hiroshi T. Ito

Publication date: 18 July 1996

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195163600

zbMATH Keywords

scattering matrixperturbed Dirac operatorextended resolventsasymptotic behavior of the scattering amplitudehigh-frequency behavior

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse scattering problems in quantum theory (81U40) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items

High‐energy and smoothness asymptotic expansion of the scattering amplitude for the Dirac equation and application ⋮ Inverse scattering at high energies for classical relativistic particles in a long-range electromagnetic field ⋮ Geometric approach to inverse scattering for the Schrödinger equation with magnetic and electric potentials ⋮ An inverse scattering problem for Dirac equations with time-dependent electromagnetic potentials ⋮ An inverse scattering problem with the Aharonov–Bohm effect ⋮ One-dimensional Dirac operators with zero-range interactions: Spectral, scattering, and topological results ⋮ On inverse scattering at high energies for the multidimensional nonrelativistic Newton equation in electromagnetic field

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