Jacobi Group Symmetry of Hamilton's Mechanics
Mathematical Physics
2024-06-24 v3 math.MP
Abstract
We show that the diffeomorphisms of an extended phase space with time, energy, momentum and position degrees of freedom that leave invariant the symplectic 2-form and and a degenerate orthogonal metric dt^2 locally satisfy Hamilton's equations up to the usual canonical transformations on the position-momentum subspace.
Keywords
Cite
@article{arxiv.2308.10766,
title = {Jacobi Group Symmetry of Hamilton's Mechanics},
author = {Stephen G. Low and Rutwig Campoamor-Stursberg},
journal= {arXiv preprint arXiv:2308.10766},
year = {2024}
}