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Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, 2006, Issue 1(35), Pages 98–104 (Mi iimi83)  

This article is cited in 1 scientific paper (total in 1 paper)

Levels of the Schrödinger operator with a perturbed non-local potential

M. S. Smetanina

Udmurt State University, Izhevsk
Full-text PDF (164 kB) Citations (1)
References:
Abstract: We investigate the one-dimensional Schrödinger operator with a potential that is a sum of a local potential and a two-rank operator. We prove that this Schrödinger operator has the unique level in the neighborhood of zero. The asimptotic behaviour of this level is investigated.
Bibliographic databases:
Document Type: Article
UDC: 517.958:530.145.6
Language: Russian
Citation: M. S. Smetanina, “Levels of the Schrödinger operator with a perturbed non-local potential”, Izv. IMI UdGU, 2006, no. 1(35), 98–104
Citation in format AMSBIB
\Bibitem{Sme06}
\by M.~S.~Smetanina
\paper Levels of the Schr\"odinger operator with a perturbed non-local potential
\jour Izv. IMI UdGU
\yr 2006
\issue 1(35)
\pages 98--104
\mathnet{http://mi.mathnet.ru/iimi83}
Linking options:
  • https://www.mathnet.ru/eng/iimi83
  • https://www.mathnet.ru/eng/iimi/y2006/i1/p98
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия Института математики и информатики Удмуртского государственного университета
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    Abstract page:148
    Full-text PDF :71
    References:36
     
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