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Zapiski Nauchnykh Seminarov LOMI, 1990, Volume 182, Pages 131–141
(Mi znsl4739)
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This article is cited in 1 scientific paper (total in 1 paper)
The asymptotics of discrete spectrum for the Schroedinger operator in electric and homogeneous magnetic fields
A. V. Sobolev
Abstract:
One studies the asymptotics of bound states below the bottom of essential spectrum for the Schroedinger operator in a homogeneous magnetic and a decreasing electric fields. The electric potential is not assumed to be nonpositive. The potential integrated along the direction of magnetic field is supposed to have a power-like behaviour at infinity. The asymptotics of bound states is shown to be of a power-like character, its main term is evaluated.
Citation:
A. V. Sobolev, “The asymptotics of discrete spectrum for the Schroedinger operator in electric and homogeneous magnetic fields”, Boundary-value problems of mathematical physics and related problems of function theory. Part 21, Zap. Nauchn. Sem. LOMI, 182, "Nauka", Leningrad. Otdel., Leningrad, 1990, 131–141; J. Soviet Math., 62:3 (1992), 2807–2814
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https://www.mathnet.ru/eng/znsl4739 https://www.mathnet.ru/eng/znsl/v182/p131
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Abstract page: | 75 | Full-text PDF : | 27 |
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