|
| related topics |
| {time, wave, function} |
| {equation, function, exp} |
| {let, theorem, proof} |
| {particle, mechanics, theory} |
| {entanglement, phys, rev} |
|
Free initial wave packets and the long-time behavior of the survival and
nonescape probabilities
Manabu Miyamoto
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0207067
- categories:
- quant-ph
- comments:
- 4 pages, 3 figures, Title and organization changed, however the
results not changed, To appear in Phys. Rev. A
- doi:
- 10.1103/PhysRevA.68.022702
- arxiv_id:
- quant-ph/0207067
- created:
- 2002-07-11
- updated:
- 2003-06-11
Full article ▸
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