Semiclassical Spectral Series
Matematičeskie zametki, Tome 80 (2006) no. 1, pp. 69-75
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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.
@article{MZM_2006_80_1_a8,
author = {R. V. Nekrasov},
title = {Semiclassical {Spectral} {Series}},
journal = {Matemati\v{c}eskie zametki},
pages = {69--75},
publisher = {mathdoc},
volume = {80},
number = {1},
year = {2006},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_1_a8/}
}
R. V. Nekrasov. Semiclassical Spectral Series. Matematičeskie zametki, Tome 80 (2006) no. 1, pp. 69-75. http://geodesic.mathdoc.fr/item/MZM_2006_80_1_a8/