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Zapiski Nauchnykh Seminarov POMI, 1993, Volume 205, Pages 71–85 (Mi znsl5795)  
This article is cited in 10 scientific papers (total in 10 papers)

Quantum relativistic Toda lattice

V. B. Kuznetsov, A. V. Tsyganov
Full-text PDF (539 kB) Citations (10)
Abstract: $q$-deformations of Toda lattices connected with infinite series of Lie algebras and their affine analogues are described. The corresponding $2\times2$ $L$-operators satisfying the standard quadratic algebra of XXZ-type are constructed. The procedure of separation of variables in the quantum case is described. Bibliography: 14 titles.
English version:
Journal of Mathematical Sciences, 1996, Volume 80, Issue 3, Pages 1802–1810
DOI: https://doi.org/10.1007/BF02362778
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: V. B. Kuznetsov, A. V. Tsyganov, “Quantum relativistic Toda lattice”, Differential geometry, Lie groups and mechanics. Part 13, Zap. Nauchn. Sem. POMI, 205, Nauka, St. Petersburg, 1993, 71–85; J. Math. Sci., 80:3 (1996), 1802–1810
Citation in format AMSBIB
\Bibitem{KuzTsi93}
\by V.~B.~Kuznetsov, A.~V.~Tsyganov
\paper Quantum relativistic Toda lattice
\inbook Differential geometry, Lie groups and mechanics. Part~13
\serial Zap. Nauchn. Sem. POMI
\yr 1993
\vol 205
\pages 71--85
\publ Nauka
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5795}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1255304}
\zmath{https://zbmath.org/?q=an:0821.17026|0860.17049}
\transl
\jour J. Math. Sci.
\yr 1996
\vol 80
\issue 3
\pages 1802--1810
\crossref{https://doi.org/10.1007/BF02362778}
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  • https://www.mathnet.ru/eng/znsl/v205/p71
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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