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Semiclassical spectral series of the Schrödinger operator on surfaces in magnetic fields
Authors:R. V. Nekrasov
Affiliation:(1) INESNEK, Moscow
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:Schr?dinger operator  spectral problem  charged particle  WKB asymptotics  magnetic field  surface of revolution
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