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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 2, Pages 88–97 (Mi vuu218)  
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

Quasi-levels of the discrete Schrödinger operator for a quantum waveguide

T. S. Tinyukova

Udmurt State University, Izhevsk, Russia
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Abstract: We proved that the discrete Schrödinger operator corresponding to a quantum waveguide with a small exponentially decreasing potential has quasi-levels (eigenvalues or resonances). The asymptotic formulas for these quasi-levels are obtained.
Keywords: discrete Schrödinger equation, eigenvalue, resonance.
Received: 25.04.2011
Document Type: Article
UDC: 517.958+530.145.6
MSC: 81Q10, 81Q15
Language: Russian
Citation: T. S. Tinyukova, “Quasi-levels of the discrete Schrödinger operator for a quantum waveguide”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 2, 88–97
Citation in format AMSBIB
\Bibitem{Tin11}
\by T.~S.~Tinyukova
\paper Quasi-levels of the discrete Schr\"odinger operator for a~quantum waveguide
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 2
\pages 88--97
\mathnet{http://mi.mathnet.ru/vuu218}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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