A nonperturbative transport theory for nuclear collective motion with a hamiltonian suited to a self-consistent description

We apply the projection technique of Nakajima-Zwanzig to discuss transport phenomena in the phase space of nuclear collective motion within the framework of a locally harmonic approximation. To account for effects of self-consistency a particular local hamiltonian is chosen. We argue for a modification of the usual perturbation theory. For the nonmarkovian case we show that this modification results in equations for the first and second moments which satisfy the fluctuation-dissipation theorem. We demonstrate how this feature can be exploited to calculate diffusion coefficients for the Markov limit. For temperatures smaller than 2 MeV we observe marked deviations from the Einstein relation.