A simple semiclassical approach to Kramers' problem

Jyotipratim Ray Chaudhuri; Bidhan Chandra Bag; Deb Shankar Ray

doi:10.1063/1.480449

A simple semiclassical approach to Kramers' problem

统计力学 2009-10-31 v2 化学物理量子物理

作者: Jyotipratim Ray Chaudhuri , Bidhan Chandra Bag , Deb Shankar Ray

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摘要

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.

关键词

wigner function semiclassical approximation schrödinger equation

引用

@article{arxiv.cond-mat/9909144,
  title  = {A simple semiclassical approach to Kramers' problem},
  author = {Jyotipratim Ray Chaudhuri and Bidhan Chandra Bag and Deb Shankar Ray},
  journal= {arXiv preprint arXiv:cond-mat/9909144},
  year   = {2009}
}

备注

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

A simple semiclassical approach to Kramers' problem

摘要

关键词

引用

备注

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