Virtual bound levels in a gap of the essential spectrum of the weakly perturbed periodic Schrödinger operator

DOI10.1007/s00020-016-2305-2zbMath1422.47051OpenAlexW2438157208MaRDI QIDQ515973

Leonid Zelenko

Publication date: 17 March 2017

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-016-2305-2

zbMATH Keywords

Schrödinger operatorcoupling constantasymptotic behavior of virtual eigenvaluesperturbed periodic potentialvirtual eigenvalues

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (3)

Defect modes for dislocated periodic media ⋮ Characterization of edge states in perturbed honeycomb structures ⋮ The bulk-edge correspondence for continuous dislocated systems

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