Abstract

Outgoing from a time-dependent theory of correlations, we present a stochastic differential equation for the propagation of ensemble of Slater determinants, called stochastic time-dependent Hartree-Fock (stochastic TDHF). These ensembles are allowed large fluctuations to develop in the Hartree-Fock mean fields. An alternative stochastic differential equation, the Boltzmann-Langevin equation, can be derived from stochastic TDHF by averaging over subensembles with small fluctuations.

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