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Regular and Chaotic Dynamics, 2003, Volume 8, Issue 2, Pages 155–162
DOI: https://doi.org/10.1070/RD2003v008n02ABEH000234 (Mi rcd773) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Classification of integrable quadratic Hamiltonians on $e(3)$

T. Wolfa, O. V. Efimovskayab

a Department of Mathematics Brock University, 500 Glenridge Avenue, St.Catharines, Ontario, Canada L2S 3A1
b Department of Mechanics and Mathematics, Moscow State University, Vorob’evy gory, Moscow, 119992, Russia
Citations (3)
DOI: https://doi.org/10.1070/RD2003v008n02ABEH000234
Abstract: Linear Poisson brackets on $e(3)$ typical of rigid body dynamics are considered. All quadratic Hamiltonians of Kowalevski type having additional first integral of fourth degree are found. Quantum analogs of these Hamiltonians are listed.
Received: 06.02.2003
Bibliographic databases:
Document Type: Article
MSC: 37J35, 70E40, 17B80
Language: English
Citation: T. Wolf, O. V. Efimovskaya, “Classification of integrable quadratic Hamiltonians on $e(3)$”, Regul. Chaotic Dyn., 8:2 (2003), 155–162
Citation in format AMSBIB
\Bibitem{WolEfi03}
\by T. Wolf, O. V. Efimovskaya
\paper Classification of integrable quadratic Hamiltonians on $e(3)$
\jour Regul. Chaotic Dyn.
\yr 2003
\vol 8
\issue 2
\pages 155--162
\mathnet{http://mi.mathnet.ru/rcd773}
\crossref{https://doi.org/10.1070/RD2003v008n02ABEH000234}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1988856}
\zmath{https://zbmath.org/?q=an:1112.37317}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2003RCD.....8..155W}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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