NONLINEAR AND NON-MARKOVIAN FLUCTUATION DISSIPATION PROCESSES - A FOKKER-PLANCK TREATMENT

This paper is devoted to the derivation of the Fokker-Planck equation in a case where the external potential acting on the system and the coupling between system and bath are not harmonic. This problem has already the subject of many preceding investigations, which left open, however, the problem of deriving the Fokker-Planck equation with no assumption but the Born approximation. Within the present treatment the problem of the derivation of the Fokker-Planck equation is solved with no limitation on the bath time scale.