dorsal/arxiv
View SchemaNonexponential decay of an unstable quantum system: Small-$Q$-value s-wave decay
| Authors | Toshifumi Jittoh, Shigeki Matsumoto, Joe Sato, Yoshio Sato, Koujin Takeda |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0408149 |
| URL | https://arxiv.org/abs/quant-ph/0408149 |
| DOI | 10.1103/PhysRevA.71.012109 |
| Journal | Phys.Rev. A71 (2005) 012109 |
Abstract
We study the decay process of an unstable quantum system, especially the deviation from the exponential decay law. We show that the exponential period no longer exists in the case of the s-wave decay with small $Q$ value, where the $Q$ value is the difference between the energy of the initially prepared state and the minimum energy of the continuous eigenstates in the system. We also derive the quantitative condition that this kind of decay process takes place and discuss what kind of system is suitable to observe the decay.
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"abstract": "We study the decay process of an unstable quantum system, especially the\ndeviation from the exponential decay law. We show that the exponential period\nno longer exists in the case of the s-wave decay with small $Q$ value, where\nthe $Q$ value is the difference between the energy of the initially prepared\nstate and the minimum energy of the continuous eigenstates in the system. We\nalso derive the quantitative condition that this kind of decay process takes\nplace and discuss what kind of system is suitable to observe the decay.",
"arxiv_id": "quant-ph/0408149",
"authors": [
"Toshifumi Jittoh",
"Shigeki Matsumoto",
"Joe Sato",
"Yoshio Sato",
"Koujin Takeda"
],
"categories": [
"quant-ph",
"cond-mat.other",
"hep-ph"
],
"doi": "10.1103/PhysRevA.71.012109",
"journal_ref": "Phys.Rev. A71 (2005) 012109",
"title": "Nonexponential decay of an unstable quantum system: Small-$Q$-value s-wave decay",
"url": "https://arxiv.org/abs/quant-ph/0408149"
},
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