dorsal/arxiv
View SchemaIonization of a Model Atom: Exact Results and Connection with Experiment
| Authors | Ovidiu Costin, Joel L. Lebowitz, Alexander Rokhlenko |
|---|---|
| Categories | |
| ArXiv ID | physics/9905038 |
| URL | https://arxiv.org/abs/physics/9905038 |
Abstract
We prove that a model atom having one bound state will be fully ionized by a time periodic potential of arbitrary strength $r$ and frequency $\omega$. The survival probability is for small $r$ given by $e^{-\Gamma t}$ for times of order $\Gamma^{-1} \sim r^{-2n}$, where $n$ is the number of ``photons'' required for ionization, with enhanced stability at resonances. For late times the decay is like $t^{-3}$. Results are for a 1d system with a delta function potential of strength $-g(1 + \eta (t))$ but comparison with experiments on the microwave ionization of excited hydrogen atoms and with recent analytical work indicate that many features are universal.
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"date_created": "2026-03-02T18:01:24.103000Z",
"date_modified": "2026-03-02T18:01:24.103000Z",
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"abstract": "We prove that a model atom having one bound state will be fully ionized by a\ntime periodic potential of arbitrary strength $r$ and frequency $\\omega$. The\nsurvival probability is for small $r$ given by $e^{-\\Gamma t}$ for times of\norder $\\Gamma^{-1} \\sim r^{-2n}$, where $n$ is the number of ``photons\u0027\u0027\nrequired for ionization, with enhanced stability at resonances. For late times\nthe decay is like $t^{-3}$. Results are for a 1d system with a delta function\npotential of strength $-g(1 + \\eta (t))$ but comparison with experiments on the\nmicrowave ionization of excited hydrogen atoms and with recent analytical work\nindicate that many features are universal.",
"arxiv_id": "physics/9905038",
"authors": [
"Ovidiu Costin",
"Joel L. Lebowitz",
"Alexander Rokhlenko"
],
"categories": [
"physics.atom-ph",
"math-ph",
"math.MP"
],
"title": "Ionization of a Model Atom: Exact Results and Connection with Experiment",
"url": "https://arxiv.org/abs/physics/9905038"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e04ad29a-1b92-4e49-97af-22dd753e6cfa",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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