The nonrelativistic limit of modified wave operators for Dirac operators

DOI10.3792/pjaa.59.71zbMath0525.35069OpenAlexW2036158843MaRDI QIDQ594289

Osanobu Yamada

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.71

zbMATH Keywords

Dirac operatorsnonrelativistic limitmodified wave operators

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum scattering theory (81U99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (5)

Relativistic scattering theory for long-range potentials of nonelectrostatic type ⋮ Eigenvalues and resonances of Dirac operators with dilation analytic potentials diverging at infinity ⋮ Relativistic Hamiltonians with dilation analytic potentials diverging at infinity ⋮ Spectral theory of Dirac operators with potentials diverging at infinity ⋮ Scattering theory for the Dirac operator with a long-range electromagnetic potential

Cites Work

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• On essential selfadjointness, distinguished selfadjoint extension and essential spectrum of Dirac operators with matrix valued potentials
• Dirac and Klein-Gordon equations: Convergence of solutions in the nonrelativistic limit
• Wave operators for long-range scattering
• Wave operators and positive eigenvalues for a Schrödinger equation with oscillating potential
• Relativistic Potential Scattering

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