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This article is cited in 2 scientific papers (total in 2 papers)
Transformation of a pair of commuting Hamiltonians quadratic in momenta to canonical form and real partial separation of variables for the Clebsch top
V. G. Marikhin, V. V. Sokolov Landau ITP of RAS,
Kosygina st. 2, Moscow, 119334, Russia
Abstract:
In the case of two degrees of freedom the simultaneous diagonalization of pairs of Hamiltonians quadratic on momenta that commute with respect to the standard Poisson bracket is considered. A general scheme of partial separation of variables for such pairs is discussed. As an example the Clebsch top is considered.
Keywords:
separation of variables, the Clebsch top
DOI:
https://doi.org/10.1134/S1560354710510167
Bibliographic databases:
MSC: 37N15, 37K20, 14K20 Received: 31.01.2010 Accepted:11.02.2010
Language:
Citation:
V. G. Marikhin, V. V. Sokolov, “Transformation of a pair of commuting Hamiltonians quadratic in momenta to canonical form and real partial separation of variables for the Clebsch top”, Regul. Chaotic Dyn., 15:6 (2010), 652–658
Citation in format AMSBIB
\Bibitem{MarSok10}
\by V. G. Marikhin, V. V. Sokolov
\paper Transformation of a pair of commuting Hamiltonians quadratic in momenta to canonical form and real partial separation of variables for the Clebsch top
\jour Regul. Chaotic Dyn.
\yr 2010
\vol 15
\issue 6
\pages 652--658
\mathnet{http://mi.mathnet.ru/rcd524}
\crossref{https://doi.org/10.1134/S1560354710510167}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2747175}
\zmath{https://zbmath.org/?q=an:1209.37105}
Linking options:
http://mi.mathnet.ru/eng/rcd524 http://mi.mathnet.ru/eng/rcd/v15/i6/p652
Citing articles on Google Scholar:
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Russian articles,
English articles
This publication is cited in the following articles:
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V. E. Adler, V. G. Marikhin, A. B. Shabat, “Quantum tops as examples of commuting differential operators”, Theoret. and Math. Phys., 172:3 (2012), 1187–1205
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V. G. Marikhin, “Quasi-Stäckel Hamiltonians and electron dynamics in an external field in the two-dimensional case”, Theoret. and Math. Phys., 199:2 (2019), 652–658
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