Eigenfunction expansions and scattering theory for Dirac operators

DOI10.2977/prims/1195191142zbMath0334.35060OpenAlexW2088022152MaRDI QIDQ1228903

Osanobu Yamada

Publication date: 1976

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/1195191142

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Scattering theory of linear operators (47A40) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (11)

On the Absolutely Continuous Spectrum of Dirac Operator ⋮ High‐energy and smoothness asymptotic expansion of the scattering amplitude for the Dirac equation and application ⋮ Generalized eigenfunctions for Dirac operators near criticality ⋮ EIGENFUNCTIONS AT THE THRESHOLD ENERGIES OF MAGNETIC DIRAC OPERATORS ⋮ Holomorphy of the scattering matrix with respect to \(c^{-2}\) for Dirac operators and an explicit treatment of relativistic corrections ⋮ Limiting absorption principle and resonances for the Dirac operator ⋮ On adiabatic pair creation ⋮ Relativistic correlations for the scattering matrix for spherically symmetric potentials ⋮ On the global limiting absorption principle for massless Dirac operators ⋮ Unnamed Item ⋮ A remark on the limiting absorption method for Dirac operators

Cites Work

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• On the principle of limiting absorption for the Dirac operator
• On the completeness problem for the eigenfunction formulae of relativistic quantum mechanics
• Functional Analysis
• Relativistic Potential Scattering
• On the perturbation of the continuous spectrum of the Dirac operator
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
• EIGENFUNCTION EXPANSIONS AND THE ASSOCIATED SCATTERING THEORY FOR POTENTIAL PERTURBATIONS OF THE DIRAC EQUATION

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