1. SYMMETRY REDUCTION IN THE VARIATIONAL APPROACH TO LIOUVILLE DYNAMICS
- Author
-
Paola Morando, Giuseppe Gaeta, and Osman Teoman Turgut
- Subjects
Volume form ,High Energy Physics::Theory ,Conservation law ,Physics and Astronomy (miscellaneous) ,Variational principle ,Homogeneous space ,Dynamics (mechanics) ,Vector field ,Mathematics::Spectral Theory ,Liouville field theory ,Conserved quantity ,Mathematical physics ,Mathematics - 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.
- Published
- 2005