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Regular and Chaotic Dynamics, 2002, Volume 7, Issue 4, Pages 393–398
DOI: https://doi.org/10.1070/RD2002v007n04ABEH000218 (Mi rcd825) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Classical and Quantum Integrable Systems: the Coalgebra Approach

Á. Ballesterosa, F. Mussob, O. Ragniscoc

a Departamento de Fisica, Universidad de Burgos, Pza. Misael Bañuelos s.n., E-09001-Burgos, Spain
b SISSA, Via Beirut 2/4, Trieste, I-34013 Italy
c Dipartimento di Fisica, Terza Università di Roma, Via della Vasca Navale 84, I-00146-Roma, Italy
Citations (1)
DOI: https://doi.org/10.1070/RD2002v007n04ABEH000218
Abstract: We review here a method, recently introduced by the authors, that can be used to construct completely integrable Classical and Quantum Hamiltonian Systems from representations of coalgebras with Casimir element(s). As a prototype example, we choose the spin $1/2$ Calogero–Gaudin system and its $q$-deformation. Possible drawbacks and generalizations of the method are outlined.
Received: 28.03.2002
Bibliographic databases:
Document Type: Article
MSC: 58F07, 58F05, 22D20, 70E15
Language: English
Citation: Á. Ballesteros, F. Musso, O. Ragnisco, “Classical and Quantum Integrable Systems: the Coalgebra Approach”, Regul. Chaotic Dyn., 7:4 (2002), 393–398
Citation in format AMSBIB
\Bibitem{BalMusRag02}
\by \'A. Ballesteros, F. Musso, O. Ragnisco
\paper Classical and Quantum Integrable Systems: the Coalgebra Approach
\jour Regul. Chaotic Dyn.
\yr 2002
\vol 7
\issue 4
\pages 393--398
\mathnet{http://mi.mathnet.ru/rcd825}
\crossref{https://doi.org/10.1070/RD2002v007n04ABEH000218}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1957272}
\zmath{https://zbmath.org/?q=an:1024.81017}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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