Mathematical problems in theoretical physics. Proceedings Berlin (West), August
Papierbedingt leicht gebräunt. - The discussion of a nuntoer of questions concerning the problem of the foundation of statistical mechanics were proposed. A process of approaching to the state of statistical equilibrium was analyzed from a general point of view, for both classical and quantum dynamical systems. It is shown that the mixing property arising in ergodic theory is not necessary for statistical systems for any finite volume and number of particles. Of importance is only the appropriate behaviour of the limiting average values of the macroscopic quantities at t to infinity after the transition to the limit of statistical mechanics has been performed. So the fact that ergodic theory in its standard form is not sufficiently established. In order to explain this idea, some model systems were investigated, i.e.
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