dorsal/arxiv
View SchemaPolynomial Solution of PT-/Non-PT-Symmetric and Non-Hermitian Generalized Woods-Saxon Potential via Nikiforov-Uvarov Method
| Authors | Sameer M. Ikhdair, Ramazan Sever |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507272 |
| URL | https://arxiv.org/abs/quant-ph/0507272 |
| Journal | Int. J. Theo. Phys. 46, 1643(2007) |
Abstract
Using the Nikiforov-Uvarov method, the bound state energy eigenvalues and eigenfunctions of the PT-/non-PT-symmetric and non-Hermitian generalized Woods-Saxon (WS) potential with the real and complex-valued energy levels are obtained in terms of the Jacobi polynomials. According to the PT-symmetric quantum mechanics, we exactly solved the time-independent Schrodinger equation with same potential for the s-states and also for any l-state as well. It is shown that the results are in good agreement with the ones obtained before.
{
"annotation_id": "533eb442-95d6-42e7-8b66-fcb0e910d4ec",
"date_created": "2026-03-02T18:02:20.415000Z",
"date_modified": "2026-03-02T18:02:20.415000Z",
"file_hash": "371b4b1f5cb52d145e3ba69037fe7917cb378538e14c6d13ded4bbb1d7f01149",
"private": false,
"record": {
"abstract": "Using the Nikiforov-Uvarov method, the bound state energy eigenvalues and\neigenfunctions of the PT-/non-PT-symmetric and non-Hermitian generalized\nWoods-Saxon (WS) potential with the real and complex-valued energy levels are\nobtained in terms of the Jacobi polynomials. According to the PT-symmetric\nquantum mechanics, we exactly solved the time-independent Schrodinger equation\nwith same potential for the s-states and also for any l-state as well. It is\nshown that the results are in good agreement with the ones obtained before.",
"arxiv_id": "quant-ph/0507272",
"authors": [
"Sameer M. Ikhdair",
"Ramazan Sever"
],
"categories": [
"quant-ph"
],
"journal_ref": "Int. J. Theo. Phys. 46, 1643(2007)",
"title": "Polynomial Solution of PT-/Non-PT-Symmetric and Non-Hermitian Generalized Woods-Saxon Potential via Nikiforov-Uvarov Method",
"url": "https://arxiv.org/abs/quant-ph/0507272"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6e6e4cbb-1884-4214-b4a0-90668030e4e6",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}