Abstract
Within a selfconsistent description for the one- and two-body density matrices collective variables are introduced via scaling diabatic states. Equations of collective motion coupled to a collision integral for the single-particle occupation probabilities are derived from the randomness of the two-body interaction matrix elements and from an additional time smoothing procedure. For a linear approximation to the time-dependence of the single-particle energies the collision term conserves energy all by itself, i.e. the time-smoothed time derivative of the correlation energy vanishes.
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