Derivation of a two-generator framework of nonequilibrium thermodynamics for quantum systems

Starting from the quantum description of isolated systems on the microscopi c level we derive the two-generator formulation of nonequilibrium thermodyn amics by means of the projection-operator technique. As a generalized canon ical ensemble is employed, we obtain a convenient starting point for practi cal calculations in nonequilibrium thermodynamics; in particular also in th e classical limit. All dynamical material properties are contained in a can onical nonequilibrium correlation. However, the generalized canonical appro ach is inappropriate for systems with large fluctuations; possible steps to ward a suitable generalization for quantum systems are discussed.