振子辐射过程中的求和规则
Sum rules in the oscillator radiation processes
摘要：
在最近引入的缀饰坐标框架下，考虑了谐振子与标量场的耦合问题。我们计算所有的概率与振荡器的激发能级的衰变过程。我们建立了一些求和规则，从这些规则中我们可以推断出与振子的不同衰变过程相关的概率，而不是直接进行量子力学计算。因此，求和规则允许表明激发能级之间的跃迁概率遵循二项式分布。
英文摘要：
We consider the problem of an harmonic oscillator coupled to a scalar field in the framework of recently introduced dressed coordinates. We compute all the probabilities associated with the decay process of an excited level of the oscillator. Instead of doing direct quantum mechanical calculations we establish some sum rules from which we infer the probabilities associated to the different decay processes of the oscillator. Thus, the sum rules allows to show that the transition probabilities between excited levels follow a binomial distribution.
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。
