dorsal/arxiv
View SchemaCapture into resonance in dynamics of a classical hydrogen atom in an oscillating electric field
| Authors | Anatoly Neishtadt, Alexei Vasiliev |
|---|---|
| Categories | |
| ArXiv ID | physics/0401009 |
| URL | https://arxiv.org/abs/physics/0401009 |
| DOI | 10.1103/PhysRevE.71.056623 |
Abstract
We consider a classical hydrogen atom in a linearly polarized electric field of slow changing frequency. When the system passes through a resonance between the driving frequency and the Kepler frequency of the electron's motion, a capture into the resonance can occur. We study this phenomenon in the case of 2:1 resonance and show that the capture results in growth of the eccentricity of the electron's orbit. The capture probability for various initial values of the eccentricity is defined and calculated.
{
"annotation_id": "8a00dcb1-7dda-4f61-ba49-5713d1be0b98",
"date_created": "2026-03-02T18:00:46.916000Z",
"date_modified": "2026-03-02T18:00:46.916000Z",
"file_hash": "20aaaa8c59726e5595643d258dce31275d2d037f7324e002b3619fe80eb7c4ea",
"private": false,
"record": {
"abstract": "We consider a classical hydrogen atom in a linearly polarized electric field\nof slow changing frequency. When the system passes through a resonance between\nthe driving frequency and the Kepler frequency of the electron\u0027s motion, a\ncapture into the resonance can occur. We study this phenomenon in the case of\n2:1 resonance and show that the capture results in growth of the eccentricity\nof the electron\u0027s orbit. The capture probability for various initial values of\nthe eccentricity is defined and calculated.",
"arxiv_id": "physics/0401009",
"authors": [
"Anatoly Neishtadt",
"Alexei Vasiliev"
],
"categories": [
"physics.atom-ph",
"nlin.CD",
"physics.class-ph"
],
"doi": "10.1103/PhysRevE.71.056623",
"title": "Capture into resonance in dynamics of a classical hydrogen atom in an oscillating electric field",
"url": "https://arxiv.org/abs/physics/0401009"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3201d1ba-20cc-4c23-9a28-191b1bcd2089",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}