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Zapiski Nauchnykh Seminarov LOMI, 1980, Volume 95, Pages 55–128 (Mi znsl3802)  
This article is cited in 148 scientific papers (total in 148 papers)

Quantum version of the method of inverse scattering problem

E. K. Sklyanin
Full-text PDF (11588 kB) Citations (148)
Abstract: This paper is a developed and consecutive account of a quantum version of the method of the inverse scattering problem on the example of the nonlinear Schrödinger equation. The method of $R$-matrices developed by the author is given basic consideration. The generating functions of quantum integrals of motion and action-angle variables for the quantum nonlinear Schrцdinger equation are obtained. There is also described a classical version of the method of $R$-matrices.
English version:
Journal of Soviet Mathematics, 1982, Volume 19, Issue 5, Pages 1546–1596
DOI: https://doi.org/10.1007/BF01091462
Bibliographic databases:
Document Type: Article
UDC: 517.43+530.145
Language: Russian
Citation: E. K. Sklyanin, “Quantum version of the method of inverse scattering problem”, Differential geometry, Lie groups and mechanics. Part III, Zap. Nauchn. Sem. LOMI, 95, "Nauka", Leningrad. Otdel., Leningrad, 1980, 55–128; J. Soviet Math., 19:5 (1982), 1546–1596
Citation in format AMSBIB
\Bibitem{Skl80}
\by E.~K.~Sklyanin
\paper Quantum version of the method of inverse scattering problem
\inbook Differential geometry, Lie groups and mechanics. Part~III
\serial Zap. Nauchn. Sem. LOMI
\yr 1980
\vol 95
\pages 55--128
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl3802}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=606022}
\zmath{https://zbmath.org/?q=an:0464.35071|0497.35072}
\transl
\jour J. Soviet Math.
\yr 1982
\vol 19
\issue 5
\pages 1546--1596
\crossref{https://doi.org/10.1007/BF01091462}
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  • https://www.mathnet.ru/eng/znsl/v95/p55
    • This publication is cited in the following 148 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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