English

Strong friction limit in quantum mechanics: the Quantum Smoluchowski equation

Statistical Mechanics 2009-11-07 v2 Soft Condensed Matter Chemical Physics

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.

Keywords

Cite

@article{arxiv.cond-mat/0107261,
  title  = {Strong friction limit in quantum mechanics: the Quantum Smoluchowski equation},
  author = {Joachim Ankerhold and Philip Pechukas and Hermann Grabert},
  journal= {arXiv preprint arXiv:cond-mat/0107261},
  year   = {2009}
}

Comments

4 pages, PRL in press