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Ufa Mathematical Journal, 2015, Volume 7, Issue 4, Pages 24–31
DOI: https://doi.org/10.13108/2015-7-4-24 (Mi ufa299) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On perturbation of a Schrödinger operator on axis by narrow potentials

A. R. Bikmetov, V. F. Vil'danova, I. Kh. Khusnullin

Bashkir State Pedagogical University, Ufa, Russia
English version PDF (324 kB) Citations (2)
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DOI: https://doi.org/10.13108/2015-7-4-24
Abstract: We consider a Schrödinger operator on the axis with two complex-valued potentials depending on two small parameters. One these parameters describes the length of the supports of the potentials, while the other corresponds to the maximal values of the absolute values of the potentials. We obtain the sufficient condition ensuring the emergence of an eigenvalues from the threshold of the essential spectrum. The asymptotics for this eigenvalue is constructed.
Keywords: Schrödinger operator, perturbation, asymptotics.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-97024 р_поволжье_а
Ministry of Education and Science of the Russian Federation
Received: 18.08.2015
Russian version:
Ufimskii Matematicheskii Zhurnal, 2015, Volume 7, Issue 4, Pages 25–33
Bibliographic databases:
Document Type: Article
UDC: 517.928.1
MSC: 35J10, 34E10
Language: English
Original paper language: Russian
Citation: A. R. Bikmetov, V. F. Vil'danova, I. Kh. Khusnullin, “On perturbation of a Schrödinger operator on axis by narrow potentials”, Ufimsk. Mat. Zh., 7:4 (2015), 25–33; Ufa Math. J., 7:4 (2015), 24–31
Citation in format AMSBIB
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\paper On perturbation of a~Schr\"odinger operator on axis by narrow potentials
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\vol 7
\issue 4
\pages 25--33
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  • https://www.mathnet.ru/eng/ufa299
  • https://doi.org/10.13108/2015-7-4-24
  • https://www.mathnet.ru/eng/ufa/v7/i4/p25
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
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    Russian version PDF:121
    English version PDF:13
    References:65
     
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