Separation of variables in the Kramers equation
Renat Zhdanov; Alexander Zhalij; Renat Zhdanov; Institute of Mathematics of the Academy of Sciences of Ukraine, Tereshchenkivska Street 3, 252004 Kyiv, Ukraine; Alexander Zhalij; Institute of Mathematics of the Academy of Sciences of Ukraine, Tereshchenkivska Street 3, 252004 Kyiv, Ukraine
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1999-05-21
Аннотация:
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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