Hamilton-Jacobi theory for one dimensional autonomous systems using parametric transformations
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
A necessary and sufficient condition for a parameter transformation that leaves invariant the energy of a one dimensional autonomous system is obtained. Using a parameter transformation the Hamilton-Jacobi equation is solved by a quadrature. An example of this approach is given.
Keywords
Cite
@article{arxiv.math-ph/0501061,
title = {Hamilton-Jacobi theory for one dimensional autonomous systems using parametric transformations},
author = {G. Gonzalez},
journal= {arXiv preprint arXiv:math-ph/0501061},
year = {2007}
}
Comments
Departamento de Matematicas y Fisica (ITESO). Submitted to Annals of Physics