This paper completes the analysis, started in J.Phys.A 35 (2002) 1741-1750, of the Lagrange top (LT) as a quasi-bi-Hamiltonian system. 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.
Separation of variables in multi-Hamiltonian systems: an application to the Lagrange top
MOROSI, CARLO;
2003-01-01
Abstract
This paper completes the analysis, started in J.Phys.A 35 (2002) 1741-1750, of the Lagrange top (LT) as a quasi-bi-Hamiltonian system. 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.File in questo prodotto:
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