Quantum Smoluchowski equation: escape from a metastable state

Dhruba Banerjee, Bidhan Chandra Bag, Suman Kumar Banik and Deb Shankar Ray

Physica A: Statistical Mechanics and its Applications, 2003, vol. 318, issue 1, 6-13

Abstract: We develop a quantum Smoluchowski equation in terms of a true probability distribution function to describe quantum Brownian motion in configuration space in large friction limit at arbitrary temperature and derive the rate of barrier crossing and tunneling within a unified scheme. The present treatment is independent of path integral formalism and is based on canonical quantization procedure.

Keywords: Quantum Smoluchowski equation; Activated rate processes; Tunneling (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:318:y:2003:i:1:p:6-13

DOI: 10.1016/S0378-4371(02)01394-8

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