Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Akh08}
\by \`E.~F.~Akhmerova
\paper Spectral asymptotics for nonsmooth perturbations of the harmonic oscillator
\jour Sibirsk. Mat. Zh.
\yr 2008
\vol 49
\issue 6
\pages 1216--1234
\mathnet{http://mi.mathnet.ru/smj1913}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2499095}
\elib{https://elibrary.ru/item.asp?id=13590258}
\transl
\jour Siberian Math. J.
\yr 2008
\vol 49
\issue 6
\pages 968--984
\crossref{https://doi.org/10.1007/s11202-008-0093-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000261792400002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-57749204579}
Linking options:
  • https://www.mathnet.ru/eng/smj1913
  • https://www.mathnet.ru/eng/smj/v49/i6/p1216
    • 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
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:391
    Full-text PDF :139
    References:60
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024