WEYL ASYMPTOTICS FOR MAGNETIC SCHRÖDINGER OPERATORS AND DE GENNES' BOUNDARY CONDITION

DOI10.1142/S0129055X08003468zbMath1167.82024arXiv0709.1032MaRDI QIDQ3602243

Ayman Kachmar

Publication date: 12 February 2009

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

Full work available at URL: https://arxiv.org/abs/0709.1032

zbMATH Keywords

spectral functionsemi-classical analysisdiscrete spectrummagnetic Schrödinger operator

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Statistical mechanics of superconductors (82D55) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

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