Spectral asymptotics for two-dimensional Schrödinger operators with strong magnetic fields

DOI10.4310/MAA.2012.V19.N1.A4zbMath1269.81047MaRDI QIDQ353395

Anh Tuan Duong

Publication date: 12 July 2013

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorsasymptotic trace formulaeigenvalues distributionstrong magnetic fields

Mathematics Subject Classification ID

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) General theory of partial differential operators (47F05) Asymptotic expansions of solutions to PDEs (35C20) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Schrödinger operator, Schrödinger equation (35J10)

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Eigenvalues and eigenfunctions for the two dimensional Schrödinger operator with strong magnetic field

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