LIOUVILLE'S THEOREM FOR TIME-DEPENDENT, NON-STANDARD AND STANDARD LAGRANGIANS
Various forms of Liouville's theorem are considered which are appropriate for non-canonical representations of mechanical systems and for applications. Special attention is given to time-dependent, non-standard Lagrangians (without constraints) for which the usual transition to an ordinary Hamiltonian is impossible. In addition, applications to integrals of the motion and kinetic equations are listed and a basic equivalence relation is proved. The results are important for modern Lagrangian guiding center theories.
Bibliographic Reference: WRITE TO MAX-PLANCK-INSTITUT FUER PLASMAPHYSIK, 8046 GARCHING BEI MUENCHEN (GERMANY), MENTIONING REPORT IPP 6/251, 1985
Record Number: 1989124037800 / Last updated on: 1987-01-01
Available languages: en