%0 Journal Article
%T Separation of variables in the Kramers equation
%A Renat Zhdanov
%A Alexander Zhalij
%J Physics
%D 1999
%I arXiv
%R 10.1088/0305-4470/32/20/315
%X 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.
%U http://arxiv.org/abs/math-ph/9906004v1