An inverse scattering problem for Dirac equations with time-dependent electromagnetic potentials

DOI10.2977/prims/1195144630zbMath0958.35150OpenAlexW2049980005MaRDI QIDQ1974498

Hiroshi T. Ito

Publication date: 2 April 2001

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/1195144630

zbMATH Keywords

Fourier transformelectromagnetic fieldDirac equationscattering operatorLorentz transform

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40) PDEs in connection with quantum mechanics (35Q40) Special relativity (83A05)

Related Items (3)

High‐energy and smoothness asymptotic expansion of the scattering amplitude for the Dirac equation and application ⋮ TOPOLOGICAL EFFECTS IN QUANTUM MECHANICS AND HIGH VELOCITY ESTIMATES ⋮ High-velocity estimates and inverse scattering for quantum N-body systems with Stark effect

Cites Work

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• On the uniqueness of inverse scattering for N-body systems
• A stationary approach to inverse scattering for schrodinger operators with first order perturbation
• Geometric approach to inverse scattering for the Schrödinger equation with magnetic and electric potentials
• The geometrical approach to multidimensional inverse scattering

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