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Algebra i Analiz, 2010, Volume 22, Issue 6, Pages 50–66 (Mi aa1213)  
This article is cited in 5 scientific papers (total in 5 papers)

Research Papers

Schrödinger operator on the axis with potentials depending on two parameters

R. R. Gadyl'shin, I. Kh. Khusnullin

Bashkir State Pedagogical University, Ufa, Russia
Full-text PDF (257 kB) Citations (5)
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Abstract: A Schrödinger operator on the axis is considered; its localized potential is the sum of a small potential and certain potentials with contracting supports, which can increase unboundedly when their supports are contracted. Sufficient conditions are presented for the absence (or existence) of eigenvalues for such an operator. In the case where eigenvalues exist, their asymptotic expansion is constructed.
Keywords: Schrödinger operator, perturbation.
Received: 11.07.2010
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 6, Pages 883–894
DOI: https://doi.org/10.1090/S1061-0022-2011-01174-4
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. R. Gadyl'shin, I. Kh. Khusnullin, “Schrödinger operator on the axis with potentials depending on two parameters”, Algebra i Analiz, 22:6 (2010), 50–66; St. Petersburg Math. J., 22:6 (2011), 883–894
Citation in format AMSBIB
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\paper Schr\"odinger operator on the axis with potentials depending on two parameters
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\pages 883--894
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Abstract page:588
    Full-text PDF :124
    References:102
    First page:25
     
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