A simple semiclassical approach to Kramers' problem
arXiv:cond-mat/9909144 · doi:10.1063/1.480449
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.
18 pages, minor correction, To appear in J. Chem. Phys
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