Towards nonlinear quantum Fokker-Planck equations
Quantum Physics
2011-04-19 v4 Statistical Mechanics
Abstract
It is demonstrated how the equilibrium semiclassical approach of Coffey et al. can be improved to describe more correctly the evolution. As a result a new semiclassical Klein-Kramers equation for the Wigner function is derived, which remains quantum for a free quantum Brownian particle as well. It is transformed to a semiclassical Smoluchowski equation, which leads to our semiclassical generalization of the classical Einstein law of Brownian motion derived before. A possibility is discussed how to extend these semiclassical equations to nonlinear quantum Fokker-Planck equations based on the Fisher information.
Cite
@article{arxiv.0808.0326,
title = {Towards nonlinear quantum Fokker-Planck equations},
author = {Roumen Tsekov},
journal= {arXiv preprint arXiv:0808.0326},
year = {2011}
}