Semiclassical analysis for a Schrödinger operator with a U(2) artificial gauge: The periodic case

DOI10.1142/S0129055X16500148zbMath1352.35164arXiv1401.6447OpenAlexW2962764579MaRDI QIDQ2828786

Françoise Truc, Arbderemane Mohamed

Publication date: 26 October 2016

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

Full work available at URL: https://arxiv.org/abs/1401.6447

zbMATH Keywords

eigenvaluesperiodic potentialgaugesemiclassicalSchrödingerBKW

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectrum, resolvent (47A10) NLS equations (nonlinear Schrödinger equations) (35Q55) Asymptotic expansions of solutions to PDEs (35C20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Cites Work

• Semi-classical analysis for the Schrödinger operator and applications
• Introduction to spectral theory. With applications to Schrödinger operators
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