Separation of variables in the Kramers equation

Details Separation of variables in the Kramers equation Separation of variables in the Kramers equation

1999-06-04

arxiv.org/abs/math-ph/9906004v1

J. Phys. A: Math. Gen., 1999, Vol. 32, No. 20, pp. 3851-3863

Physics

Mathematical Physics

21 pages, LaTeX

Scientific paper

10.1088/0305-4470/32/20/315

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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