Semiclassical bounds in magnetic bottles

DOI10.1142/S0129055X16500021zbMath1335.81072arXiv1307.7091OpenAlexW2963132784MaRDI QIDQ2800850

Hynek Kovařík, Diana Barseghyan, Pavel Exner, Timo Weidl

Publication date: 18 April 2016

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

Full work available at URL: https://arxiv.org/abs/1307.7091

zbMATH Keywords

discrete spectrumeigenvalue boundsmagnetic Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) 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)

Related Items (2)

Eigenvalue bound for Schrödinger operators with unbounded magnetic field ⋮ A Lieb–Thirring type inequality for magnetic Schrödinger operators with a radial symmetry

Cites Work

• Pólya's conjecture in the presence of a constant magnetic field
• SHARP SPECTRAL ESTIMATES IN DOMAINS OF INFINITE VOLUME
• Improved Berezin-Li-Yau inequalities with a remainder term
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