Mean first-passage time of quantum transition processes
Statistical Mechanics
2015-06-11 v1
Abstract
In this paper, we consider the problem of mean first-passage time (MFPT) in quantum mechanics; the MFPT is the average time of the transition from a given initial state, passing through some intermediate states, to a given final state for the first time. We apply the method developed in statistical mechanics for calculating the MFPT of random walks to calculate the MFPT of a transition process. As applications, we (1) calculate the MFPT for multiple-state systems, (2) discuss transition processes occurring in an environment background, (3) consider a roundabout transition in a hydrogen atom, and (4) apply the approach to laser theory.
Keywords
Cite
@article{arxiv.1208.5110,
title = {Mean first-passage time of quantum transition processes},
author = {Rong-Tao Qiu and Wu-Sheng Dai and Mi Xie},
journal= {arXiv preprint arXiv:1208.5110},
year = {2015}
}
Comments
11 pages, no figure