The Noether charges of all analytic Lagrangians associated with a scale invariant action
Classical Physics
2019-05-03 v1
Abstract
Here we consider scale invariant dynamical systems within a classical particle description of Lagrangian mechanics. We begin by showing the condition under which a spatial and temporal scale transformation of such a system can lead to a symmetry by leaving the action unchanged. We then derive the form of all analytic Lagrangians that possess such a symmetry under change of scale. Finally, we write down the Noether charges of all analytic Lagrangians that are associated with a scale invariant action.
Cite
@article{arxiv.1905.00714,
title = {The Noether charges of all analytic Lagrangians associated with a scale invariant action},
author = {Erik D. Fagerholm and Robert Leech},
journal= {arXiv preprint arXiv:1905.00714},
year = {2019}
}
Comments
3 pages, 0 figures