Title: Brownian Motion of a Classical Particle in Quantum Environment,
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.