Exceptional coupling constants for the Coulomb-Dirac operator with anomalous magnetic moment

DOI10.1016/j.cam.2005.06.022zbMath1093.81025arXivmath/0407457OpenAlexW2035080246MaRDI QIDQ2493961

Karl Michael Schmidt

Publication date: 16 June 2006

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407457

zbMATH Keywords

stabilityDirac operatoranomalous magnetic momentCoulomb coupling constant

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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• Spectral stability of the Coulomb--Dirac Hamiltonian with anomalous magnetic moment
• Spectral theory of ordinary differential operators
• The Dirac equation with an anomalous magnetic moment
• Relative oscillation -- non-oscillation criteria for perturbed periodic Dirac systems
• Eigenvalues in gaps of perturbed periodic Dirac operators: Numerical evidence
• On the Selfadjointness of Dirac Operators with Anomalous Magnetic Moment
• Spectral properties of the Dirac equation with anomalous magnetic moment
• Separated Dirac operators and asymptotically constant linear systems
• Eigenvalue asymptotics of perturbed periodic Dirac systems in the slow-decay limit
• The Factorization Method

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