Perturbation theory for the Schrödinger operator with a periodic potential

zbMath0731.35074MaRDI QIDQ5896578

Yulia E. Karpeshina

Publication date: 1991

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

zbMATH Keywords

perturbation theoryBloch functionsanalytic dependenceBethe- Sommerfeld hypothesis

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Schrödinger operator, Schrödinger equation (35J10) Perturbation theories for operators and differential equations in quantum theory (81Q15)

Related Items

Strong magnetic fields, Dirichlet boundaries, and spectral gaps, Spectral properties of the periodic magnetic Schrödinger operator in the high-energy region. Two-dimensional case