Separation of variables in the Kramers equation
Mathematical Physics
2009-10-31 v1 math.MP
Probability
Exactly Solvable and Integrable Systems
Chemical Physics
Abstract
We consider the problem of separation of variables in the Kramers equation admitting a non-trivial symmetry group. Provided the external potential is at most quadratic, a complete solution of the problem of separation of variables is obtained. Furthermore, we construct solutions of the Kramers equation with separated variables in explicit form.
Keywords
Cite
@article{arxiv.math-ph/9906004,
title = {Separation of variables in the Kramers equation},
author = {Renat Zhdanov and Alexander Zhalij},
journal= {arXiv preprint arXiv:math-ph/9906004},
year = {2009}
}
Comments
21 pages, LaTeX