多层Friedrichs模型的Zeno era与非衰减子空间
Zeno era and non-decaying subspaces for multilevel Friedrichs model
摘要：
本文在$N$水平的Friedrichs模型框架下研究了衰变态生存概率的短时和中时行为。详细讨论了退化和近退化系统。我们表明，在这些系统中，衰变可以大大减缓，甚至停止适当的初始条件的选择。我们分析了所谓的芝诺时代内的多层次系统的行为。我们研究和比较两种不同的定义芝诺时间。我们证明，芝诺时代可以通过适当的选择系统参数大大扩大。
英文摘要：
We study the short-time and medium-time behavior of the survival probability of decaying states in the framework of the $N$-level Friedrichs model. The degenerated and nearly degenerated systems are discussed in detail. We show that in these systems decay can be considerably slowed down or even stopped by appropriate choice of initial conditions. We analyze the behaviour of the multilevel system within the so-called Zeno era. We examine and compare two different definitions of the Zeno time. We demonstrate that the Zeno era can be considerably enlarged by proper choice of the system parameters.
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