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A simple semiclassical approach to Kramers' problem

Jyotipratim Ray Chaudhuri·Bidhan Chandra Bag·Deb Shankar Ray
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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 $\hbar$ we solve this equation to calculate the semiclassical correction to Kramers' rate.

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Jyotipratim Ray Chaudhuri, Bidhan Chandra Bag, Deb Shankar Ray. 1999-11-09. A simple semiclassical approach to Kramers' problem. https://doi.org/10.1063/1.480449

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