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SYMMETRY REDUCTION IN THE VARIATIONAL APPROACH TO LIOUVILLE DYNAMICS
- Source :
- International Journal of Geometric Methods in Modern Physics. :657-674
- Publication Year :
- 2005
- Publisher :
- World Scientific Pub Co Pte Lt, 2005.
-
Abstract
- In a recent paper, a variational principle for Liouville dynamics (vector fields preserving a volume form) was introduced. In the present paper, we discuss the relation between symmetries and conservation laws in Liouville dynamics. We recall a result by Crampin relating symmetries and conserved quantities in Liouville dynamics, and discuss how symmetry reduction is implemented in the frame of the variational principle for Liouville dynamics.
Details
- ISSN :
- 17936977 and 02198878
- Database :
- OpenAIRE
- Journal :
- International Journal of Geometric Methods in Modern Physics
- Accession number :
- edsair.doi...........ec51208f88e62d0efd375ddb21354fbf