Separation of variables in multi-Hamiltonian systems: an application to the Lagrange top

Details Separation of variables in multi-Hamiltonian systems: an application to the Lagrange top Separation of variables in multi-Hamiltonian systems: an application to the Lagrange top

2003-05-07

arxiv.org/abs/nlin/0305007v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

report to XVI NEEDS (Cadiz 2002): 15 pages, no figures, LaTeX. To appear in Theor. Math. Phys

Scientific paper

Starting from the tri-Hamiltonian formulation of the Lagrange top in a
six-dimensional phase space, we discuss the reduction of the vector field and
of the Poisson tensors. We show explicitly that, after the reduction on each
one of the symplectic leaves, the vector field of the Lagrange top is separable
in the sense of Hamilton-Jacobi.

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