dorsal/arxiv
View SchemaAtomic Supersymmetry, Oscillators, and the Penning Trap
| Authors | Alan Kostelecky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9508015 |
| URL | https://arxiv.org/abs/quant-ph/9508015 |
Abstract
This paper begins with some background information and a summary of results in atomic supersymmetry. The connection between the supersymmetric Coulomb and oscillator problems in arbitrary dimensions is outlined. Next, I treat the issue of finding a description of supersymmetry-based quantum-defect theory in terms of oscillators. A model with an anharmonic term that yields analytical eigenfunctions is introduced to solve this problem in arbitrary dimensions. Finally, I show that geonium atoms (particles contained in a Penning trap) offer a realization of a multidimensional harmonic oscillator in an idealized limit. The anharmonic theory presented here provides a means of modeling the realistic case.
{
"annotation_id": "37c3f65a-5259-4e6c-861b-6e6a703c3d36",
"date_created": "2026-03-02T18:02:38.139000Z",
"date_modified": "2026-03-02T18:02:38.139000Z",
"file_hash": "025ebd9ed123693017c363195bcbdc874acf1be677d0b3e4ed7024e3e6fa7b0c",
"private": false,
"record": {
"abstract": "This paper begins with some background information and a summary of results\nin atomic supersymmetry. The connection between the supersymmetric Coulomb and\noscillator problems in arbitrary dimensions is outlined. Next, I treat the\nissue of finding a description of supersymmetry-based quantum-defect theory in\nterms of oscillators. A model with an anharmonic term that yields analytical\neigenfunctions is introduced to solve this problem in arbitrary dimensions.\nFinally, I show that geonium atoms (particles contained in a Penning trap)\noffer a realization of a multidimensional harmonic oscillator in an idealized\nlimit. The anharmonic theory presented here provides a means of modeling the\nrealistic case.",
"arxiv_id": "quant-ph/9508015",
"authors": [
"Alan Kostelecky"
],
"categories": [
"quant-ph"
],
"title": "Atomic Supersymmetry, Oscillators, and the Penning Trap",
"url": "https://arxiv.org/abs/quant-ph/9508015"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "7a9d92b8-159d-44b4-9984-450967816bd9",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}