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Matematicheskie Zametki, 2006, Volume 80, Issue 1, Pages 69–75
DOI: https://doi.org/10.4213/mzm2781 (Mi mzm2781) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

R. V. Nekrasov

Institute of Natural Sciences and Ecology
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DOI: https://doi.org/10.4213/mzm2781
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.
Received: 26.03.2004
Revised: 08.06.2005
English version:
Mathematical Notes, 2006, Volume 80, Issue 1, Pages 65–71
DOI: https://doi.org/10.1007/s11006-006-0109-4
Bibliographic databases:
UDC: 517
Language: Russian
Citation: R. V. Nekrasov, “Semiclassical Spectral Series of the Schrödinger Operator on Surfaces in Magnetic Fields”, Mat. Zametki, 80:1 (2006), 69–75; Math. Notes, 80:1 (2006), 65–71
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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