# SEPARATION OF VARIABLES IN THE KRAMERS EQUATION

@article{Zhdanov1999SEPARATIONOV, title={SEPARATION OF VARIABLES IN THE KRAMERS EQUATION}, author={R. Zhdanov and Alexander Zhalij}, journal={Journal of Physics A}, year={1999}, volume={32}, pages={3851-3863} }

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.

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