Strong friction limit in quantum mechanics: the quantum Smoluchowski equation.

J. Ankerhold,P. Pechukas,H. Grabert

Published 2001 in Physical Review Letters

ABSTRACT

For a quantum system coupled to a heat bath environment the strong friction limit is studied starting from the exact path integral formulation. Generalizing the classical Smoluchowski limit to low temperatures, a time evolution equation for the position distribution is derived and the strong role of quantum fluctuations in this limit is revealed.

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