Separation of variables in the Kramers equation

Abstract

We consider the problem of separation of variables in the Kramers equation admitting a non-trivial 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.

21 pages, LaTeX

References in corpus (1)

• On the new approach to variable separation in the time-dependent Schrödinger equation with two space dimensions