自由初始波包与生存概率和非逃逸概率的长时间行为
Free initial wave packets and the long-time behavior of the survival and nonescape probabilities
摘要：
一维自由粒子系统的存活概率S（t）和非逃逸概率P（t）在长时间内的行为与初始小动量波包的行为密切相关。我们证明了当动量表象中的初始波包在小动量时为O（1）或O（k）时，S（t）和P（t）在长时间内渐近地表现出相同的幂律衰减.另一方面，如果整数m变得大于1，则S（t）和P（t）在长时间内以不同的幂律减小。
英文摘要：
The behavior of both the survival S(t) and nonescape P(t) probabilities at long times for the one-dimensional free particle system is shown to be closely connected to that of the initial wave packet at small momentum. We prove that both S(t) and P(t) asymptotically exhibit the same power-law decrease at long times, when the initial wave packet in momentum representation behaves as O(1) or O(k) at small momentum. On the other hand, if the integer m becomes greater than 1, S(t) and P(t) decrease in different power-laws at long times.
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