A simple semiclassical approach to Kramers' problem
Statistical Mechanics
2009-10-31 v2 Chemical Physics
Quantum Physics
Abstract
We show that Wigner-Leggett-Caldeira equation for Wigner phase space distribution function which describes the quantum Brownian motion of a particle in a force field in a high temerature, Ohmic environment can be identified as a semiclassical version of Kramers' equation. Based on an expansion in powers of we solve this equation to calculate the semiclassical correction to Kramers' rate.
Cite
@article{arxiv.cond-mat/9909144,
title = {A simple semiclassical approach to Kramers' problem},
author = {Jyotipratim Ray Chaudhuri and Bidhan Chandra Bag and Deb Shankar Ray},
journal= {arXiv preprint arXiv:cond-mat/9909144},
year = {2009}
}
Comments
18 pages, minor correction, To appear in J. Chem. Phys