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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 6, Pages 1216–1234 (Mi smj1913)  
This article is cited in 6 scientific papers (total in 6 papers)

Spectral asymptotics for nonsmooth perturbations of the harmonic oscillator

È. F. Akhmerova

Institute of Social and Economic Researchs, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (355 kB) Citations (6)
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Abstract: We obtain the spectral asymptotics of a nonsmooth perturbation of the one-dimensional harmonic oscillator. We use the technique of perturbation theory which is based on an asymptotic presentation of the part of the kernel of the nonperturbed operator resolvent in some neighborhood of an eigenvalue.
Keywords: harmonic oscillator, spectral asymptotics, nonsmooth perturbation.
Received: 21.11.2006
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 6, Pages 968–984
DOI: https://doi.org/10.1007/s11202-008-0093-x
Bibliographic databases:
UDC: 517.984
Language: Russian
Citation: È. F. Akhmerova, “Spectral asymptotics for nonsmooth perturbations of the harmonic oscillator”, Sibirsk. Mat. Zh., 49:6 (2008), 1216–1234; Siberian Math. J., 49:6 (2008), 968–984
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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