The Liouville theorem as a problem of common eigenfunctions
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 HamiltonJacobi equation can be formulated as the problem of finding common eigenfunctions of $n$ constants of motion in involution, where $n$ is the number of degrees of freedom of the system.
 Publication:

arXiv eprints
 Pub Date:
 March 2015
 DOI:
 10.48550/arXiv.1503.06789
 arXiv:
 arXiv:1503.06789
 Bibcode:
 2015arXiv150306789T
 Keywords:

 Physics  Classical Physics