Periodic magnetic Schrödinger operators: spectral gaps and tunneling effect

DOI10.1134/S0081543808020132zbMath1237.58029arXivmath/0702776MaRDI QIDQ764668

Bernard Helffer, Yurii A. Kordyukov

Publication date: 14 March 2012

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

Full work available at URL: https://arxiv.org/abs/math/0702776

zbMATH Keywords

spectral gapsnoncompact Riemannian manifoldtunneling effectperiodic magnetic Schrödinger operators

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) General topics in linear spectral theory for PDEs (35P05) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) PDEs on manifolds (35R01)

Related Items (2)

Spectral gaps for periodic Schrödinger operators with hypersurface magnetic wells: analysis near the bottom ⋮ Accurate semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator

Cites Work

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