Semiclassical Spectral Asymptotics for a Two-Dimensional Magnetic Schrödinger Operator II: The Case of Degenerate Wells

DOI10.1080/03605302.2011.626101zbMath1247.35084arXiv1103.4326OpenAlexW2963327748MaRDI QIDQ2904534

Bernard Helffer, Yurii A. Kordyukov

Publication date: 14 August 2012

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.4326

zbMATH Keywords

eigenvalue asymptoticssemiclassical limitspectral gapsmagnetic Schrödinger operatormagnetic wells

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Magnetic WKB constructions ⋮ Breaking a magnetic zero locus: model operators and numerical approach ⋮ Semiclassical spectral analysis of Toeplitz operators on symplectic manifolds: the case of discrete wells ⋮ Magnetic WKB constructions on surfaces ⋮ Review on spectral asymptotics for the semiclassical Bochner Laplacian of a line bundle ⋮ Accurate semiclassical spectral asymptotics for a two-dimensional magnetic Schrödinger operator

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