Time dependence in quantum mechanics—Study of a simple decaying system
Time dependence in quantum mechanics—Study of a simple decaying system
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量子力学中的时间依赖性——简单衰变系统的研究
DOI：
10.1119/1.16897
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发表时间：
1992
期刊：
影响因子：
--
通讯作者：
A. Kumar
中科院分区：
文献类型：
--
作者：
D. Onley;A. Kumar
一个简单的量子力学模型，由一个耦合到连续介质的两能级系统组成，其中相互作用可以从微扰到强变化，研究了使用初等方法可以了解到的量子力学衰变。在这个模型中，可以计算的衰减谱和振幅的时间依赖性，而不诉诸微扰理论。光谱不是精确的洛伦兹，衰减也不是精确的指数衰减，这似乎是所有衰减系统的量子力学模型所共有的特征。指数衰减的条件和一些偏离这在短期和长期的原因进行了讨论。
A simple quantum‐mechanical model consisting of a two‐level system coupled to a continuum, where the interaction can be varied from perturbative to strong, is examined for what can be learned about quantum mechanical decay using elementary methods. The decay spectrum and time dependence of the amplitudes can be calculated in this model, without resorting to perturbation theory. The spectrum is not precisely Lorentzian nor is the decay precisely exponential, features that appear to be shared by all quantum‐mechanical models of decaying systems. The conditions for exponential decay and some of the reasons for deviation from this at both short and long times are discussed.