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Teoreticheskaya i Matematicheskaya Fizika, 1997, Volume 112, Number 3, Pages 428–447
DOI: https://doi.org/10.4213/tmf1054 (Mi tmf1054) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Superintegrable systems and classical $r$-matrix method

A. V. Tsiganov

St. Petersburg State University, Faculty of Physics
Full-text PDF (281 kB) Citations (1)
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DOI: https://doi.org/10.4213/tmf1054
Abstract: Superintegrable systems are considered in the framework of the classical $r$-matrix method.By using other authomorphisms of the loop algebras new superintegrable systems with rational potentials from geodesic motion on $\mathbb R^{2n}$ are constructed.
Received: 12.03.1997
English version:
Theoretical and Mathematical Physics, 1997, Volume 112, Issue 3, Pages 1140–1156
DOI: https://doi.org/10.1007/BF02583046
Bibliographic databases:
Language: Russian
Citation: A. V. Tsiganov, “Superintegrable systems and classical $r$-matrix method”, TMF, 112:3 (1997), 428–447; Theoret. and Math. Phys., 112:3 (1997), 1140–1156
Citation in format AMSBIB
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\paper Superintegrable systems and classical $r$-matrix method
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\issue 3
\pages 428--447
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\transl
\jour Theoret. and Math. Phys.
\yr 1997
\vol 112
\issue 3
\pages 1140--1156
\crossref{https://doi.org/10.1007/BF02583046}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000071403900007}
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  • https://www.mathnet.ru/eng/tmf1054
  • https://doi.org/10.4213/tmf1054
  • https://www.mathnet.ru/eng/tmf/v112/i3/p428
    • This publication is cited in the following 1 articles:
    1. A. V. Tsiganov, “Homogeneous Stäckel-type systems”, Theoret. and Math. Phys., 115:1 (1998), 377–395  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:578
    Full-text PDF :242
    References:66
    First page:1
     
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