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Sbornik: Mathematics, 2014, Volume 205, Issue 1, Pages 1–6
DOI: https://doi.org/10.1070/SM2014v205n01ABEH004364 (Mi sm8244) 		 
On spectral perturbation caused by bounded variation of potential

R. S. Ismagilov

N. E. Bauman Moscow State Technical University
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DOI: https://doi.org/10.1070/SM2014v205n01ABEH004364
Abstract: The harmonic oscillator operator is perturbed by an arbitrary bounded continuous term. This results in the perturbation of the spectrum. The map sending the first of these perturbations into the second is examined. Its approximation by a linear map is studied.
Bibliography: 2 titles.
Keywords: harmonic oscillator, spectrum, perturbation, Sturm-Liouville operator.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00790a
Received: 02.05.2013 and 04.09.2013
Russian version:
Matematicheskii Sbornik, 2014, Volume 205, Number 1, Pages 3–8
DOI: https://doi.org/10.4213/sm8244
Bibliographic databases:
Document Type: Article
UDC: 517.984.55
MSC: 47A55, 47F05
Language: English
Original paper language: Russian
Citation: R. S. Ismagilov, “On spectral perturbation caused by bounded variation of potential”, Mat. Sb., 205:1 (2014), 3–8; Sb. Math., 205:1 (2014), 1–6
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/sm/v205/i1/p3
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    Abstract page:710
    Russian version PDF:222
    English version PDF:18
    References:104
    First page:80
     
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