J. Ankerhold et al., Strong friction limit in quantum mechanics: The quantum Smoluchowski equation - art. no. 086802, PHYS REV L, 8708(8), 2001, pp. 6802
For a quantum system coupled to a heat bath environment the strong friction
limit is studied starting from the exact path integral formulation. Genera
lizing the classical Smoluchowski limit to low temperatures, a time evoluti
on equation for the position distribution is derived and the strong role of
quantum fluctuations in this limit is revealed.