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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 224, Pages 122–128 (Mi znsl4436)  
This article is cited in 1 scientific paper (total in 1 paper)

Exact solution of a model of three bound oscillators with Stark nonlinearity

N. M. Bogoliubov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (275 kB) Citations (1)
Abstract: A model of three bound boson oscillators with Stark nonlinearity is introduced and solved by the quantum inverse scattering method. For the trilinear oscillator, the eigenvalue problem is reduced to the spectral problem for the second-order homogeneous differential equation. Bibliography: 11 titles.
Received: 30.11.1994
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 88, Issue 2, Pages 185–189
DOI: https://doi.org/10.1007/BF02364979
Bibliographic databases:
Document Type: Article
UDC: 530.145+517.9
Language: Russian
Citation: N. M. Bogoliubov, “Exact solution of a model of three bound oscillators with Stark nonlinearity”, Questions of quantum field theory and statistical physics. Part 13, Zap. Nauchn. Sem. POMI, 224, POMI, St. Petersburg, 1995, 122–128; J. Math. Sci. (New York), 88:2 (1998), 185–189
Citation in format AMSBIB
\Bibitem{Bog95}
\by N.~M.~Bogoliubov
\paper Exact solution of a~model of three bound oscillators with Stark nonlinearity
\inbook Questions of quantum field theory and statistical physics. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 224
\pages 122--128
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4436}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1364845}
\zmath{https://zbmath.org/?q=an:0899.58055|0888.58063}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 88
\issue 2
\pages 185--189
\crossref{https://doi.org/10.1007/BF02364979}
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  • https://www.mathnet.ru/eng/znsl/v224/p122
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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