A simple semiclassical approach to the Kramers' problem

Chaudhuri, Jyotipratim Ray ; Bag, Bidhan Chandra ; Ray, Deb Shankar (1999) A simple semiclassical approach to the Kramers' problem The Journal of Chemical Physics, 111 (24). 10852_1-10852_7. ISSN 0021-9606

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Official URL: http://jcp.aip.org/resource/1/jcpsa6/v111/i24/p108...

Related URL: http://dx.doi.org/10.1063/1.480449


We show that the 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 temperature, ohmic environment can be identified as a semiclassical version of Kramers' equation. Based on an expansion in powers of ℏ, we solve this equation to calculate the semiclassical correction to Kramers' rate

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Deposited On:03 Sep 2011 11:58
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