Free initial wave packets and the long-time behavior of the survival and nonescape probabilities
Quantum Physics
2009-11-07 v3
Abstract
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.
Keywords
Cite
@article{arxiv.quant-ph/0207067,
title = {Free initial wave packets and the long-time behavior of the survival and nonescape probabilities},
author = {Manabu Miyamoto},
journal= {arXiv preprint arXiv:quant-ph/0207067},
year = {2009}
}
Comments
4 pages, 3 figures, Title and organization changed, however the results not changed, To appear in Phys. Rev. A