Brownian Motion of a Classical Particle in Quantum Environment
Quantum Physics
2018-06-15 v5 Statistical Mechanics
Abstract
The Klein-Kramers equation, governing the Brownian motion of a classical particle in quantum environment under the action of an arbitrary external potential, is derived. Quantum temperature and friction operators are introduced and at large friction the corresponding Smoluchowski equation is obtained. Introducing the Bohm quantum potential, this Smoluchowski equation is extended to describe the Brownian motion of a quantum particle in quantum environment.
Keywords
Cite
@article{arxiv.1701.05032,
title = {Brownian Motion of a Classical Particle in Quantum Environment},
author = {R. Tsekov},
journal= {arXiv preprint arXiv:1701.05032},
year = {2018}
}
Comments
The paper is dedicated to the Memory of M.H.Lee (1937-2016) and V.B.Braginsky (1931-2016)