dorsal/arxiv
View SchemaFree initial wave packets and the long-time behavior of the survival and nonescape probabilities
| Authors | Manabu Miyamoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0207067 |
| URL | https://arxiv.org/abs/quant-ph/0207067 |
| DOI | 10.1103/PhysRevA.68.022702 |
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.
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"abstract": "The behavior of both the survival S(t) and nonescape P(t) probabilities at\nlong times for the one-dimensional free particle system is shown to be closely\nconnected to that of the initial wave packet at small momentum. We prove that\nboth S(t) and P(t) asymptotically exhibit the same power-law decrease at long\ntimes, when the initial wave packet in momentum representation behaves as O(1)\nor O(k) at small momentum. On the other hand, if the integer m becomes greater\nthan 1, S(t) and P(t) decrease in different power-laws at long times.",
"arxiv_id": "quant-ph/0207067",
"authors": [
"Manabu Miyamoto"
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"quant-ph"
],
"doi": "10.1103/PhysRevA.68.022702",
"title": "Free initial wave packets and the long-time behavior of the survival and nonescape probabilities",
"url": "https://arxiv.org/abs/quant-ph/0207067"
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