Semiclassical reduction for magnetic Schrödinger operator with periodic zero-range potentials and applications

DOI10.3233/ASY-2008-0923zbMath1185.35043arXiv0802.1414OpenAlexW3098124715MaRDI QIDQ3636338

Bernard Helffer, Konstantin Pankrashkin

Publication date: 30 June 2009

Published in: Asymptotic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0802.1414

zbMATH Keywords

Schrödinger operatorCantor setperiodic potentialmagnetic fluxsemiclassical analysisHarper-like operators

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Applications of operator theory in the physical sciences (47N50) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Pseudodifferential operators (47G30)