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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 303, Pages 223–271 (Mi znsl910)  
This article is cited in 1 scientific paper (total in 1 paper)

The asymptotics of spectral data of the harmonic oscillator perturbed by a potential

D. S. Chelkak

Saint-Petersburg State University
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Abstract: The asymptotics of spectral data of the perturbed harmonic oscillator $-y''+x^2y+q(x)y$ are obtained for the potentials $q(x)$ such that $q',xq\in L^2(\mathbb R)$. These results are important for the solution of the corresponding inverse spectral problem.
Received: 26.09.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 129, Issue 4, Pages 4053–4082
DOI: https://doi.org/10.1007/s10958-005-0342-5
Bibliographic databases:
UDC: 517.43
Language: Russian
Citation: D. S. Chelkak, “The asymptotics of spectral data of the harmonic oscillator perturbed by a potential”, Investigations on linear operators and function theory. Part 31, Zap. Nauchn. Sem. POMI, 303, POMI, St. Petersburg, 2003, 223–271; J. Math. Sci. (N. Y.), 129:4 (2005), 4053–4082
Citation in format AMSBIB
\Bibitem{Che03}
\by D.~S.~Chelkak
\paper The asymptotics of spectral data of the harmonic oscillator perturbed by a~potential
\inbook Investigations on linear operators and function theory. Part~31
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 303
\pages 223--271
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl910}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2037541}
\zmath{https://zbmath.org/?q=an:1162.34068}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 129
\issue 4
\pages 4053--4082
\crossref{https://doi.org/10.1007/s10958-005-0342-5}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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