On levels of a weakly perturbed periodic Schrödinger operator

DOI10.1007/s00220-004-1117-4zbMath1309.35010OpenAlexW2040587601MaRDI QIDQ1771541

Yu. P. Chuburin

Publication date: 18 April 2005

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-004-1117-4

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Electron scattering by a crystal layer ⋮ Mutual transition of Andreev and Majorana bound states in a superconducting gap ⋮ Investigation of eigenvalues and scattering problem for the Bogoliubov – de Gennes Hamiltonian near the superconducting gap edge ⋮ The levels of the two-particle Schrödinger operator corresponding to a crystal film

Cites Work

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• On the Schrödinger operator with a small potential in the case of a crystal film
• The bound state of weakly coupled Schrödinger operators in one and two dimensions
• Scattering theory for systems with different spatial asymptotics on the left and right
• On small perturbations of the Schrödinger operator with a periodic potential
• Solutions of the Schrödinger equation in the case of a semiinfinite crystal
• Scattering from infinite sheets
• Schrödinger operator eigenvalue (resonance) on a zone boundary

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