Quantum Statistical Mechanics. IV. Non-Equilibrium Probability Operator   and Stochastic, Dissipative Schrodinger Equation
  The probability operator for a generic non-equilibrium quantum system is derived. The corresponding stochastic, dissipative Schr\"odinger equation is also given. The dissipative and stochastic propagators are linked by the fluctuation-dissipation theorem that is derived from the unitary condition on the time propagator. The dissipative propagator is derived from thermodynamic force and entropy fluctuation operators that are in general non-linear. 
Phil Attard
physics.chem-ph cond-mat.stat-mech quant-ph