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 Regul. Chaotic Dyn., 2010, Volume 15, Issue 6, Pages 652–658 (Mi rcd524)

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
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} 

• http://mi.mathnet.ru/eng/rcd524
• http://mi.mathnet.ru/eng/rcd/v15/i6/p652

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. 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
2. 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