Abstract

For an isolated macrosystem classical state parameters ζ( t) are introduced inside a quantum mechanical treatment. By a suitable mathematical representation of the actual preparation procedure in the time interval [ T, t 0] a statistical operator is constructed as a solution of the Liouville—von Neumann equation, exhibiting at time t the state parameters ζ( t′), t 0 ≤ t′ ≤ t, and preparation parameters related to times T ≤ t′ ≤ t 0. Relation with Zubarev's nonequilibrium statistical operator is discussed. A mechanism for memory loss is investigated and time evolution by a semigroup is obtained for a restricted set of relevant observables, slowly varying on a suitable time scale.

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