Published April 10, 2009
| Version v1
Journal article
The structure of a set of vector fields on Poisson manifolds
Creators
- 1. Institute of Fundamental Sciences, Massey University, Palmerston North (New Zealand)
Description
We show that the Lie bracket of an arbitrary vector field with a Hamiltonian vector field is the sum of a Hamiltonian vector field and an energy-preserving vector field, but that not all vector fields can be so decomposed. (fast track communication)
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/42/14/142001Additional details
Identifiers
- DOI
- 10.1088/1751-8113/42/14/142001;
- PII
- S1751-8113(09)08226-2;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 42
- Journal Issue
- 14
- Journal Page Range
- [3 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 40070824
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- HAMILTONIANS; MATHEMATICAL MANIFOLDS; POISSON EQUATION; VECTOR FIELDS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM OPERATORS