dorsal/arxiv
View SchemaRefined Factorizations of Solvable Potentials
| Authors | J. Negro, L. M. Nieto, O. Rosas-Ortiz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9910038 |
| URL | https://arxiv.org/abs/quant-ph/9910038 |
| DOI | 10.1088/0305-4470/33/40/315 |
| Journal | J. Phys. A: Math. Gen. 33(2000) 7207-7216 |
Abstract
A generalization of the factorization technique is shown to be a powerful algebraic tool to discover further properties of a class of integrable systems in Quantum Mechanics. The method is applied in the study of radial oscillator, Morse and Coulomb potentials to obtain a wide set of raising and lowering operators, and to show clearly the connection that link these systems.
{
"annotation_id": "2238618b-27ba-44c2-bb05-a91c0482dbab",
"date_created": "2026-03-02T18:02:48.294000Z",
"date_modified": "2026-03-02T18:02:48.294000Z",
"file_hash": "8f2c3c8d0436cf788dbbc6b490009f835c65d0c17c50e67f7d2ecdb7ba59d3fe",
"private": false,
"record": {
"abstract": "A generalization of the factorization technique is shown to be a powerful\nalgebraic tool to discover further properties of a class of integrable systems\nin Quantum Mechanics. The method is applied in the study of radial oscillator,\nMorse and Coulomb potentials to obtain a wide set of raising and lowering\noperators, and to show clearly the connection that link these systems.",
"arxiv_id": "quant-ph/9910038",
"authors": [
"J. Negro",
"L. M. Nieto",
"O. Rosas-Ortiz"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/33/40/315",
"journal_ref": "J. Phys. A: Math. Gen. 33(2000) 7207-7216",
"title": "Refined Factorizations of Solvable Potentials",
"url": "https://arxiv.org/abs/quant-ph/9910038"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e9ad5e06-db3e-4c1b-99c7-e0ba253161dd",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}