Phys. Rev. A 68, 022702 (2003) [5 pages]Free initial wave packets and the long-time behavior of the survival and nonescape probabilitiesReceived 12 December 2002; published 7 August 2003 The behavior of both the survival S(t) and the 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 km with m=0 or 1 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. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.68.022702
DOI:
10.1103/PhysRevA.68.022702
PACS:
03.65.Nk
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