Separation of variables in the Kramers equation
Abstract
We consider the problem of separation of variables in the Kramers equation admitting a nontrivial symmetry group. Provided the external potential V(x) 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.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 May 1999
 DOI:
 10.1088/03054470/32/20/315
 arXiv:
 arXiv:mathph/9906004
 Bibcode:
 1999JPhA...32.3851Z
 Keywords:

 Mathematical Physics;
 Mathematics  Probability;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Physics  Chemical Physics;
 35Q40;
 60H15
 EPrint:
 21 pages, LaTeX