Symmetries, conservation laws, and time reversibility for Hamiltonian systems with external forces
- 1 August 1983
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 24 (8), 2095-2101
- https://doi.org/10.1063/1.525962
Abstract
A system theoretic framework is given for the description of Hamiltonian systems with external forces and partial observations of the state. It is shown how symmetries and conservation laws can be defined within this framework. A generalization of Noether’s theorem is obtained. Finally a precise definition of time reversibility is given and its consequences are explored.Keywords
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