dorsal/arxiv
View SchemaQuasi-exact Solvability of Planar Dirac Electron in Coulomb and Magnetic Fields
| Authors | Chun-Ming Chiang, Choon-Lin Ho |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0501035 |
| URL | https://arxiv.org/abs/quant-ph/0501035 |
| DOI | 10.1142/S0217732305016452 |
| Journal | Mod. Phys. Lett. A 20 (2005) 673-679. |
Abstract
The Dirac equation for an electron in two spatial dimensions in the Coulomb and homogeneous magnetic fields is a physical example of quasi-exactly solvable systems. This model, however, does not belong to the classes based on the algebra $sl(2)$ which underlies most one-dimensional and effectively one-dimensional quasi-exactly solvable systems. In this paper we demonstrate that the quasi-exactly solvable differential equation possesses a hidden $osp(2,2)$ superalgebra.
{
"annotation_id": "609cf272-90e4-48d9-8454-ea141dc695ca",
"date_created": "2026-03-02T18:02:13.512000Z",
"date_modified": "2026-03-02T18:02:13.512000Z",
"file_hash": "3410724282cb62322d3310be9bb03455ca67a4856e80b41de4a0a2abb81a520c",
"private": false,
"record": {
"abstract": "The Dirac equation for an electron in two spatial dimensions in the Coulomb\nand homogeneous magnetic fields is a physical example of quasi-exactly solvable\nsystems. This model, however, does not belong to the classes based on the\nalgebra $sl(2)$ which underlies most one-dimensional and effectively\none-dimensional quasi-exactly solvable systems. In this paper we demonstrate\nthat the quasi-exactly solvable differential equation possesses a hidden\n$osp(2,2)$ superalgebra.",
"arxiv_id": "quant-ph/0501035",
"authors": [
"Chun-Ming Chiang",
"Choon-Lin Ho"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"nlin.SI"
],
"doi": "10.1142/S0217732305016452",
"journal_ref": "Mod. Phys. Lett. A 20 (2005) 673-679.",
"title": "Quasi-exact Solvability of Planar Dirac Electron in Coulomb and Magnetic Fields",
"url": "https://arxiv.org/abs/quant-ph/0501035"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "516e3c82-2495-4128-9b1d-21c985e56aee",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}