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. Morosi
  • G. Tondo
Article

DOI: 10.1023/A:1027365903527

Cite this article as:
Morosi, C. & Tondo, G. Theoretical and Mathematical Physics (2003) 137: 1550. doi:10.1023/A:1027365903527

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 topHamiltonian formulationseparability

Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • C. Morosi
    • 1
  • G. Tondo
    • 2
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanItaly
  2. 2.Dipartimento di Scienze MatematicheUniversità di TriesteTriesteItaly