Published February 22, 2002
| Version v1
Journal article
The quasi-bi-Hamiltonian formulation of the Lagrange top
Creators
- 1. Dipartimento di Matematica, Politecnico di Milano, Milan (Italy)
- 2. Dipartimento di Scienze Matematiche, Universita di Trieste, Trieste (IT)
Description
Starting from the tri-Hamiltonian formulation of the Lagrange top (LT) 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 LT possesses, on the reduced phase space, a quasi-bi-Hamiltonian formulation, which provides a set of separation variables for the corresponding Hamilton-Jacobi equation. (author)
Availability note (English)
Available online at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 4361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://www.iop.org/;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 35
- Journal Issue
- 7
- Journal Page Range
- p. 1741-1750
- ISSN
- 0305-4470
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 33024194
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- FOUR-DIMENSIONAL CALCULATIONS; HAMILTON-JACOBI EQUATIONS; HAMILTONIAN FUNCTION; HAMILTONIANS; LAGRANGE EQUATIONS; MANY-DIMENSIONAL CALCULATIONS; PHASE SPACE; POISSON EQUATION; TENSORS; VECTOR FIELDS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FUNCTIONS; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS; SPACE