Abstract
An exact theory of the dynamics in simple classical liquids is presented and employed to give formal justification for approximations of the memory function of the phase-space correlation function derived previously by Sjögren and Sjölander. On the basis of the same physical ideas, a set of time-dependent projection operators, which operate on a distribution vector of all phase-space distribution functions, is introduced. This leads to an equation of the Mori type for a new irreducible distribution vector in terms of a frequency matrix determined by static properties. Through this equation immediate contact with the works of other authors is obtained. It also represents a suitable starting point for various approximations, such as those made earlier, which are considered in some detail.
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