Article

Theoretical and Mathematical Physics

, Volume 137, Issue 2, pp 1550-1560

Separation of Variables in Multi-Hamiltonian Systems: An Application to the Lagrange Top

  • C. MorosiAffiliated withDipartimento di Matematica, Politecnico di Milano
  • , G. TondoAffiliated withDipartimento di Scienze Matematiche, Università di Trieste

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Abstract

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 to each symplectic leaf, the vector field of the Lagrange top is separable in the Hamilton–Jacobi sense.

Lagrange top Hamiltonian formulation separability