The quasi-bi-Hamiltonian formulation of the Lagrange top
Exactly Solvable and Integrable Systems
2009-11-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.nlin/0201028,
title = {The quasi-bi-Hamiltonian formulation of the Lagrange top},
author = {C. Morosi and G. Tondo},
journal= {arXiv preprint arXiv:nlin/0201028},
year = {2009}
}
Comments
12 pages, no figures, LaTeX, to appear in J. Phys. A: Math. Gen. (March 2002)