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Ufimskii Matematicheskii Zhurnal, 2011, Volume 3, Issue 3, Pages 55–66 (Mi ufa102)  
This article is cited in 6 scientific papers (total in 6 papers)

Perturbation of the Shrödinger operator by a narrow potential

R. R. Gadyl'shin, I. Kh. Khusnullin

Bashkir State Pedagogical University, Ufa, Russia
Full-text PDF (431 kB) Citations (6)
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Abstract: A discrete spectrum of the Schrödinger operator perturbed by a potential on the real line is studied. The potential depends on two small parameters. One of the parameters describes the length of the support of the potential and the inverse of the other parameter corresponds to the magnitude of the potential.
Keywords: Schrödinger operator, perturbation, matching of asymptotic expansions.
Received: 26.08.2011
Bibliographic databases:
Document Type: Article
UDC: 517.928+517.984
Language: Russian
Citation: R. R. Gadyl'shin, I. Kh. Khusnullin, “Perturbation of the Shrödinger operator by a narrow potential”, Ufa Math. J., 3:3 (2011)
Citation in format AMSBIB
\Bibitem{GadKhu11}
\by R.~R.~Gadyl'shin, I.~Kh.~Khusnullin
\paper Perturbation of the Shr\"odinger operator by a~narrow potential
\jour Ufa Math. J.
\yr 2011
\vol 3
\issue 3
\mathnet{http://mi.mathnet.ru//eng/ufa102}
\zmath{https://zbmath.org/?q=an:1249.35069}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Full-text PDF :153
    References:85
    First page:2
     
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