Quantum Statistical Mechanics. IV. Non-Equilibrium Probability Operator and Stochastic, Dissipative Schrodinger Equation
Chemical Physics
2014-06-24 v2 Statistical Mechanics
Quantum Physics
Abstract
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.
Cite
@article{arxiv.1406.5270,
title = {Quantum Statistical Mechanics. IV. Non-Equilibrium Probability Operator and Stochastic, Dissipative Schrodinger Equation},
author = {Phil Attard},
journal= {arXiv preprint arXiv:1406.5270},
year = {2014}
}
Comments
18 pages