This article is cited in 1 paper

Semiclassical Spectral Series of the Schrödinger Operator on Surfaces in Magnetic Fields

R. V. Nekrasov

Institute of Natural Sciences and Ecology

Abstract: We consider the spectral problem for the Schrödinger operator describing a charged particle confined by a homogeneous magnetic field to a certain two-dimensional symmetric surface. Spectral asymptotic series are calculated for either strong or weak magnetic field.

Keywords: Schrödinger operator, spectral problem, charged particle, WKB asymptotics, magnetic field, surface of revolution.

UDC: 517

Received: 26.03.2004
Revised: 08.06.2005

DOI: 10.4213/mzm2781

 English version: Mathematical Notes, 2006, 80:1, 65–71

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