The quasi-bi-Hamiltonian formulation of the Lagrange top
نویسندگان
چکیده
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 quasibi-Hamiltonian formulation, which provides a set of separation variables for the corresponding Hamilton-Jacobi equation.
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