dorsal/arxiv
View SchemaAlgebraic Nature of Shape-Invariant and Self-Similar Potentials
| Authors | A. B. Balantekin, M. A. Candido Ribeiro, A. N. F. Aleixo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9811061 |
| URL | https://arxiv.org/abs/quant-ph/9811061 |
| DOI | 10.1088/0305-4470/32/15/007 |
| Journal | J.Phys.A32:2785-2790,1999 |
Abstract
Self-similar potentials generalize the concept of shape-invariance which was originally introduced to explore exactly-solvable potentials in quantum mechanics. In this article it is shown that previously introduced algebraic approach to the latter can be generalized to the former. The infinite Lie algebras introduced in this context are shown to be closely related to the q-algebras. The associated coherent states are investigated.
{
"annotation_id": "0dd5753c-dbeb-4077-805f-59fc928cb00d",
"date_created": "2026-03-02T18:02:45.078000Z",
"date_modified": "2026-03-02T18:02:45.078000Z",
"file_hash": "3ae257a5b427946cf9cfd4d72e6c0fd417bd33f2f697ace1705da5645074978c",
"private": false,
"record": {
"abstract": "Self-similar potentials generalize the concept of shape-invariance which was\noriginally introduced to explore exactly-solvable potentials in quantum\nmechanics. In this article it is shown that previously introduced algebraic\napproach to the latter can be generalized to the former. The infinite Lie\nalgebras introduced in this context are shown to be closely related to the\nq-algebras. The associated coherent states are investigated.",
"arxiv_id": "quant-ph/9811061",
"authors": [
"A. B. Balantekin",
"M. A. Candido Ribeiro",
"A. N. F. Aleixo"
],
"categories": [
"quant-ph",
"nucl-th"
],
"doi": "10.1088/0305-4470/32/15/007",
"journal_ref": "J.Phys.A32:2785-2790,1999",
"title": "Algebraic Nature of Shape-Invariant and Self-Similar Potentials",
"url": "https://arxiv.org/abs/quant-ph/9811061"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "58622e5e-5aa4-49d0-a2ca-30b81b49a6b6",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}