On small perturbations of the Schrödinger operator with a periodic potential

DOI10.1007/BF02630460zbMath0913.47013MaRDI QIDQ1280841

Yu. P. Chuburin

Publication date: 15 March 1999

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorasymptotic behavior of the eigenvalues and resonance levelssmall perturbations of a potentialthird quasimomentum component

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) General theory of partial differential operators (47F05) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items (11)

Perturbation theory of resonances and embedded eigenvalues of the Schrödinger operator for a crystal film ⋮ Two-particle scattering in a periodic medium ⋮ Decay law for a quasistationary state of the Schrödinger operator for a crystal film ⋮ Electron scattering by a crystal layer ⋮ Mutual transition of Andreev and Majorana bound states in a superconducting gap ⋮ On levels of a weakly perturbed periodic Schrödinger operator ⋮ Quasilevels of a two-particle Schrödinger operator with a perturbed periodic potential ⋮ Behavior of Andreev states for topological phase transition ⋮ Schrödinger operator with a perturbed small steplike potential ⋮ Resonance multiplicity of a perturbed periodic Schrödinger operator ⋮ Investigation of eigenvalues and scattering problem for the Bogoliubov – de Gennes Hamiltonian near the superconducting gap edge

Cites Work

• Resonances for perturbations of a semiclassical periodic Schrödinger operator
• Scattering from infinite sheets
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