This article is cited in 6 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.

MSC: 37N15, 37K20, 14K20

Received: 31.01.2010
Accepted: 11.02.2010

Language: English

DOI: 10.1134/S1560354710510167

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