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- W2032090411 abstract "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 ${k}^{m}$ 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." @default.
- W2032090411 created "2016-06-24" @default.
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- W2032090411 date "2003-08-07" @default.
- W2032090411 modified "2023-10-17" @default.
- W2032090411 title "Free initial wave packets and the long-time behavior of the survival and nonescape probabilities" @default.
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- W2032090411 doi "https://doi.org/10.1103/physreva.68.022702" @default.
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