The quasi-bi-Hamiltonian formulation of the Lagrange top

Details The quasi-bi-Hamiltonian formulation of the Lagrange top The quasi-bi-Hamiltonian formulation of the Lagrange top

2002-01-15

arxiv.org/abs/nlin/0201028v1

J. Phys. A: Math. Gen., 35 (2002) 1741-1750

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages, no figures, LaTeX, to appear in J. Phys. A: Math. Gen. (March 2002)

Scientific paper

10.1088/0305-4470/35/7/318

Starting from the tri-Hamiltonian formulation of the Lagrange top in a six-dimensional phase space, we discuss the possible reductions of the Poisson tensors, the vector field and its Hamiltonian functions on a four-dimensional space. We show that the vector field of the Lagrange top possesses, on the reduced phase space, a quasi-bi-Hamiltonian formulation, which provides a set of separation variables for the corresponding Hamilton-Jacobi equation.

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