General Fluctuation Theorems of Quantum Statistics



The general theorems of classical statistical mechanics used to calculate the fluctuations and the correlations are generalized to the case of quantum systems. The exact relations of quantum statistics are obtained and they permit to calculate the time correlations in theory of brownian motion without supplementary assumptions about character of the correlations of chance forces. From these relations the generalized reciprocal ONSAGER relations and the generalized fluctuation-dissipation theorem are found, as the exakt theorems of nonequilibrium quantum statistics.