A Summary on Symmetries and Conserved Quantities of Autonomous Hamiltonian Systems,
Mathematical Physics
2020-10-05 v4 High Energy Physics - Theory
math.MP
Abstract
A complete geometric classification of symmetries of autonomous Hamiltonian mechanical systems is established; explaining how to obtain their associated conserved quantities in all cases. In particular, first we review well-known results and properties about the symmetries of the Hamiltonian and of the symplectic form and then some new kinds of non-symplectic symmetries and their conserved quantities are introduced and studied.
Keywords
Cite
@article{arxiv.1806.06265,
title = {A Summary on Symmetries and Conserved Quantities of Autonomous Hamiltonian Systems,},
author = {N. Román-Roy},
journal= {arXiv preprint arXiv:1806.06265},
year = {2020}
}
Comments
11 pages. The paper has been substantially shortened. The bibliography has been updated