Bixon-Jortner模型中激发态的存活概率
Survival Probability of an Excited State in the Bixon-Jortner Model
AI总结：
本文在Bixon-Jortner模型中数值研究了激发态存活概率的衰减规律，发现其在短时指数衰减后会出现随时间持续的重布居振荡现象。
摘要：
当量子力学系统的初始状态为激发态时，该状态的占据概率或存活概率预计会下降。本文在为模拟分子内无辐射跃迁而引入的Bixon-Jortner模型中对此进行了数值研究。这里使用有限状态集，在状态数固定的情况下，模型参数为能级间距和跃迁矩阵元强度。通过改变这三者来观察其对存活概率的影响。在短时间后，存活概率衰减通常呈指数形式。但随后发现存活概率随时间进一步增加，然后又减少，形成一种随时间持续的模式。当存在可数状态集时，这种重新布居是一个普遍特征。
英文摘要：
When the initial state of a quantum mechanical system is an excited state, then it is expected that the occupation, or survival, probability of that state will decrease. This is studied numerically within the Bixon-Jortner model, which was introduced to model intramolecular radiationless transitions. Here a finite set of states is used and for a fixed number of states, the parameters of the model are the energy level separation and the strength of the transition matrix element. All three of these are varied to see their effects on the survival probability. After a short interval of time, the survival probability decay is often found to be an exponential. But the survival probability is then found to increase with further time and then decrease in a pattern that continues in time. This repopulation is a general feature when a countable set of states is present.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
