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Zapiski Nauchnykh Seminarov POMI, 2012, Volume 398, Pages 26–54 (Mi znsl5194)  
This article is cited in 17 scientific papers (total in 18 papers)

Exactly solvable models of quantum nonlinear optics

N. M. Bogoliubov, P. P. Kulish

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (630 kB) Citations (18)
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Abstract: There are many models in quantum nonlinear optics which are exactly solvable and permit to describe physical phenomena beyand perturbation theory. It is pointed out that variety of these models can be solved in the framework of the quantum inverse scattering method.
Key words and phrases: quantum inverse scattering method, $R$-matrix, $q$-boson, nonlinear optics Dicke model.
Received: 15.12.2011
English version:
Journal of Mathematical Sciences (New York), 2013, Volume 192, Issue 1, Pages 14–30
DOI: https://doi.org/10.1007/s10958-013-1369-7
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. M. Bogoliubov, P. P. Kulish, “Exactly solvable models of quantum nonlinear optics”, Questions of quantum field theory and statistical physics. Part 22, Zap. Nauchn. Sem. POMI, 398, POMI, St. Petersburg, 2012, 26–54; J. Math. Sci. (N. Y.), 192:1 (2013), 14–30
Citation in format AMSBIB
\Bibitem{BogKul12}
\by N.~M.~Bogoliubov, P.~P.~Kulish
\paper Exactly solvable models of quantum nonlinear optics
\inbook Questions of quantum field theory and statistical physics. Part~22
\serial Zap. Nauchn. Sem. POMI
\yr 2012
\vol 398
\pages 26--54
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5194}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2944987}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2013
\vol 192
\issue 1
\pages 14--30
\crossref{https://doi.org/10.1007/s10958-013-1369-7}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884980940}
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  • https://www.mathnet.ru/eng/znsl/v398/p26
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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