Hamilton-Jacobi theory for one dimensional autonomous systems using parametric transformations

Details Hamilton-Jacobi theory for one dimensional autonomous systems using parametric transformations Hamilton-Jacobi theory for one dimensional autonomous systems using parametric transformations

2005-01-22

arxiv.org/abs/math-ph/0501061v1

Physics

Mathematical Physics

Departamento de Matematicas y Fisica (ITESO). Submitted to Annals of Physics

Scientific paper

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.

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