Discontinuities in Dirac eigenfunction expansions

DOI10.1063/1.1389471zbMath1011.81008OpenAlexW2090925509MaRDI QIDQ2775053

Radosław Szmytkowski

Publication date: 26 February 2002

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

Full work available at URL: https://semanticscholar.org/paper/c7818e5b848cbd6107e64d4cf8fe07a393905630

zbMATH Keywords

basis of eigenfunctions\(R\)-matrix theoryanalytically solvable exampleone-dimensional regular Dirac operatorseparated homogeneous boundary conditions

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items (3)

Equiconvergence of spectral decompositions of 1D Dirac operators with regular boundary conditions ⋮ On the Gibbs phenomenon for expansions by eigenfunctions of the boundary problem for Dirac system ⋮ Convergence of expansions in Schrödinger and Dirac eigenfunctions, with an application to the R-matrix theory

Cites Work

• Dirac equations for MHD waves: Hamiltonian spectra and supersymmetry
• Kapur - Peierls and WignerR-matrix theories for the Dirac equation
• Resonance Reactions Involving Dirac-Type Incident Particles

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