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Separation of variables in the Kramers equation

Renat Zhdanov·Alexander Zhalij
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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.

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Renat Zhdanov, Alexander Zhalij. 1999-06-04. Separation of variables in the Kramers equation. https://doi.org/10.1088/0305-4470%2F32%2F20%2F315

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