Separation of Variables in Multi-Hamiltonian Systems: An Application to the Lagrange Top
- Cite this article as:
- Morosi, C. & Tondo, G. Theoretical and Mathematical Physics (2003) 137: 1550. doi:10.1023/A:1027365903527
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.