量子衰变的二次和非二次短时行为的解析研究
Analytical study of quadratic and non-quadratic short-time behavior of quantum decay
摘要：
利用存活振幅的共振展开，研究了初始处于有限射程相互作用区域内的不稳定态的量子衰变的短时行为。它表明，在一般的生存概率$S(t)$的短时间行为具有依赖于初始状态，可以表现为$S(t)=1-\mathcal{O}(t^{3/2})$或$S(t)=1-\mathcal{O}(t^{2})$。上述情况说明了可解模型。参考文献[1]中报道的实验没有区分上述短时行为。
英文摘要：
The short-time behavior of quantum decay of an unstable state initially located within an interaction region of finite range is investigated using a resonant expansion of the survival amplitude. It is shown that in general the short-time behavior of the survival probability $S(t)$ has a dependence on the initial state and may behave either as $S(t)=1-\mathcal{O}(t^{3/2})$ or as $S(t)=1-\mathcal{O}(t^{2})$. The above cases are illustrated by solvable models. The experiment reported in Ref. [1] does not distinguish between the above short-time behaviors.
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。
