dorsal/arxiv
View SchemaDecay in a uniform field: an exactly solvable model
| Authors | R. M. Cavalcanti, P. Giacconi, R. Soldati |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307232 |
| URL | https://arxiv.org/abs/quant-ph/0307232 |
| DOI | 10.1088/0305-4470/36/48/009 |
| Journal | J. Phys. A: Math. Gen. 36, 12065 (2003) |
Abstract
We investigate the time evolution of the decay (or ionization) probability of a D-dimensional model atom (D=1,2,3) in the presence of a uniform (i.e., static and homogeneous) background field. The model atom consists in a non-relativistic point particle in the presence of a point-like attractive well. It is shown that the model exhibits infinitely many resonances leading to possible deviations from the naive exponential decay law of the non-decay (or survival) probability of the initial atomic quantum state. Almost stable states exist due to the presence of the attractive interaction, no matter how weak it is. Analytic estimates as well as numerical evaluation of the decay rates are explicitly given and discussed.
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"abstract": "We investigate the time evolution of the decay (or ionization) probability of\na D-dimensional model atom (D=1,2,3) in the presence of a uniform (i.e., static\nand homogeneous) background field. The model atom consists in a\nnon-relativistic point particle in the presence of a point-like attractive\nwell. It is shown that the model exhibits infinitely many resonances leading to\npossible deviations from the naive exponential decay law of the non-decay (or\nsurvival) probability of the initial atomic quantum state. Almost stable states\nexist due to the presence of the attractive interaction, no matter how weak it\nis. Analytic estimates as well as numerical evaluation of the decay rates are\nexplicitly given and discussed.",
"arxiv_id": "quant-ph/0307232",
"authors": [
"R. M. Cavalcanti",
"P. Giacconi",
"R. Soldati"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"physics.atom-ph"
],
"doi": "10.1088/0305-4470/36/48/009",
"journal_ref": "J. Phys. A: Math. Gen. 36, 12065 (2003)",
"title": "Decay in a uniform field: an exactly solvable model",
"url": "https://arxiv.org/abs/quant-ph/0307232"
},
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