Abstract
The relationship between the classical description of a macrosystem and quantum mechanics of its particles is considered within the framework recently developed by Ludwig. A procedure is given to define probability measures on the trajectory space of a macrosystem which yields a statistical description of the dynamics of a macrosystem. The basic tool in our treatment is a new concept of space-time inhomogeneous Gibbs ensemble, defined in in-body quantum mechanics. In the Gaussian approximation of the probabilities the results of Zubarev’s theory based on the « nonequilibrium statistical operator » are recovered. Our « embedding » of the description of a macrosystem inside theN-body theory allows for a joint description of a macrosystem and a microsubsystem of it, and a « macroscopical » calculation of the statistical operator of the microsystem is indicated.
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