Mean first-passage time of quantum transition processes

作者：Qiu, Rong-Tao; Dai, Wu-Sheng; Xie, Mi^*

来源：Physica A: Statistical Mechanics and Its Applications , 2012, 391(20): 4748-4755.

DOI：10.1016/j.physa.2012.05.050

• Mean first-passage time
• Master equation
• Lifetime

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 environmental background, (3) consider a roundabout transition in a hydrogen atom, and (4) apply the approach to laser theory.

• 出版日期2012-10-15
• 单位天津大学; 南开大学