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.
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Translated from Matematicheskie Zametki, vol. 80, no. 1, 2006, pp. 69–75.
Original Russian Text Copyright © 2006 by R. V. Nekrasov.
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Nekrasov, R.V. Semiclassical spectral series of the Schrödinger operator on surfaces in magnetic fields. Math Notes 80, 65–71 (2006). https://doi.org/10.1007/s11006-006-0109-4
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DOI: https://doi.org/10.1007/s11006-006-0109-4