Exact solutions of the Dirac equation with surface delta interactions

DOI10.1088/0305-4470/23/11/023zbMath0713.35076OpenAlexW1981788334MaRDI QIDQ3198248

F. Domínguez-Adame

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1088/0305-4470/23/11/023

zbMATH Keywords

Dirac equationdelta interactionsDirac-Kronig-Penney model

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40)

Related Items (8)

Spectral analysis of Dirac operators with delta interactions supported on the boundaries of rough domains ⋮ Spectral properties of the Dirac operator coupled with \(\delta\)-shell interactions ⋮ Electrically neutral Dirac particles in the presence of external fields: Exact solutions ⋮ Dirac Hamiltonian with Coulomb potential and spherically symmetric shell contact interactiona) ⋮ Scattering of massless Dirac particles by oscillating barriers in one dimension ⋮ Scattering theory for \(2N\) parameter models of finitely many relativistic \(\delta\)-sphere and \(\delta\)-sphere plus Coulomb interactions supported by concentric spheres in quantum mechanics ⋮ Shell interactions for Dirac operators ⋮ Distinguished self-adjoint extensions of Dirac operators via Hardy-Dirac inequalities

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