Semiclassical Spectral Asymptotics for a Magnetic Schrödinger Operator with Non-vanishing Magnetic Field

DOI10.1007/978-3-319-06248-8_23zbMath1317.81101arXiv1311.6340OpenAlexW1897056167MaRDI QIDQ5260869

Bernard Helffer, Yurii A. Kordyukov

Publication date: 30 June 2015

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6340

zbMATH Keywords

semiclassical approximationspectrummagnetic Schrödinger operator

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Hardy spaces (30H10) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (7)

Optimal magnetic Sobolev constants in the semiclassical limit ⋮ Semiclassical spectral analysis of Toeplitz operators on symplectic manifolds: the case of discrete wells ⋮ The Ginzburg-Landau functional with vanishing magnetic field ⋮ Magnetic WKB constructions on surfaces ⋮ Semiclassical spectral analysis of the Bochner-Schrödinger operator on symplectic manifolds of bounded geometry ⋮ A semiclassical Birkhoff normal form for symplectic magnetic wells ⋮ Review on spectral asymptotics for the semiclassical Bochner Laplacian of a line bundle

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