The Liouville theorem as a problem of common eigenfunctions
Classical Physics
2015-03-25 v1
Abstract
It is shown that, by appropriately defining the eigenfunctions of a function defined on the extended phase space, the Liouville theorem on solutions of the Hamilton--Jacobi equation can be formulated as the problem of finding common eigenfunctions of constants of motion in involution, where is the number of degrees of freedom of the system.
Cite
@article{arxiv.1503.06789,
title = {The Liouville theorem as a problem of common eigenfunctions},
author = {G. F. Torres del Castillo},
journal= {arXiv preprint arXiv:1503.06789},
year = {2015}
}