A simple semiclassical approach to Kramers' problem

Details A simple semiclassical approach to Kramers' problem A simple semiclassical approach to Kramers' problem

1999-09-10

arxiv.org/abs/cond-mat/9909144v2

J. Chem. Phys., 111 (1999) 10852

Physics

Condensed Matter

Statistical Mechanics

18 pages, minor correction, To appear in J. Chem. Phys

Scientific paper

10.1063/1.480449

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 $\hbar$ we solve this equation to calculate the semiclassical correction to Kramers' rate.

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