dorsal/arxiv
View SchemaQuantum Parabolic Sombrero
| Authors | Ye. Hakobyan, S. Ter-Antonyan, V. Ter-Antonyan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9908016 |
| URL | https://arxiv.org/abs/quant-ph/9908016 |
| DOI | 10.1016/S0375-9601(99)00832-4 |
| Journal | Phys.Lett. A264 (2000) 434-439 |
Abstract
We have discussed the energy levels and probability distribution density for a quantum particle placed in the two-dimensional sombrero-shaped potential $V(\rho,\rho_0)=\mu\omega^2|\rho^2-\rho_0^2|/2$.
{
"annotation_id": "8d8cb340-fe17-4762-94fa-50a1f47d93c9",
"date_created": "2026-03-02T18:02:48.104000Z",
"date_modified": "2026-03-02T18:02:48.104000Z",
"file_hash": "adf59315c77e8490a81fa071692b13869ba6ef74bfad750c7cc88eb8515df40d",
"private": false,
"record": {
"abstract": "We have discussed the energy levels and probability distribution density for\na quantum particle placed in the two-dimensional sombrero-shaped potential\n$V(\\rho,\\rho_0)=\\mu\\omega^2|\\rho^2-\\rho_0^2|/2$.",
"arxiv_id": "quant-ph/9908016",
"authors": [
"Ye. Hakobyan",
"S. Ter-Antonyan",
"V. Ter-Antonyan"
],
"categories": [
"quant-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1016/S0375-9601(99)00832-4",
"journal_ref": "Phys.Lett. A264 (2000) 434-439",
"title": "Quantum Parabolic Sombrero",
"url": "https://arxiv.org/abs/quant-ph/9908016"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ef4f00bc-b8c6-4838-8474-3f0d4978ddbf",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}