Eigenvalue asymptotics of perturbed periodic Dirac systems in the slow-decay limit

DOI10.1090/S0002-9939-02-06679-0zbMath1027.81008arXivmath/0111115OpenAlexW1747378459MaRDI QIDQ4787507

Karl Michael Schmidt

Publication date: 7 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0111115

zbMATH Keywords

essential spectrumspectral gapnumber of eigenvalues

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) General theory of ordinary differential operators (47E05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (3)

On the resonances and eigenvalues for a 1D half-crystal with localised impurity ⋮ Exceptional coupling constants for the Coulomb-Dirac operator with anomalous magnetic moment ⋮ Eigenvalues in gaps of perturbed periodic Dirac operators: Numerical evidence

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