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The quasi-bi-Hamiltonian formulation of the Lagrange top

C. Morosi·G. Tondo
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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.

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C. Morosi, G. Tondo. 2002-01-15. The quasi-bi-Hamiltonian formulation of the Lagrange top. https://doi.org/10.1088/0305-4470%2F35%2F7%2F318

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