English

Variational symmetries as the existence of ignorable coordinates

General Physics 2017-01-19 v1

Abstract

It is shown that given a Lagrangian for a system with a finite number of degrees of freedom, the existence of a variational symmetry is equivalent to the existence of coordinates in the extended configuration space such that one of the coordinates is ignorable.

Keywords

Cite

@article{arxiv.1609.09330,
  title  = {Variational symmetries as the existence of ignorable coordinates},
  author = {G. F. Torres del Castillo and I. Rubalcava-García},
  journal= {arXiv preprint arXiv:1609.09330},
  year   = {2017}
}