This article is cited in 5 papers

On the reduction of the pair of hamiltonians quadratic in momenta to canonic form and real partial separation of variables for the Clebsch top

V. G. Marikhin, V. V. Sokolov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: We examine simultaneous diagonalization of pairs of commuting Hamiltonians of two degrees of freedom, quadratic in nionienta, and their reduction to canonical form. A real partial separation of variables for the Clebsch top is carried out.

Keywords: separation of variables, Ciebsch top.

UDC: 531.3

MSC: 37N15, 37K20, 14K20

Received: 23.05.2008