dorsal/arxiv
View SchemaSeries Solutions of the N-Dimensional Position-Dependent Mass Schrodinger Equation with a General Class of Potentials
| Authors | Sameer M. Ikhdair, Ramazan Sever |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604095 |
| URL | https://arxiv.org/abs/quant-ph/0604095 |
Abstract
The analytical solutions of the N-dimensional Schrodinger equation with position-dependent mass for a general class of central potentials is obtained via the series expansion method. The position-dependent mass is expanded in series about origin. As a special case, the analytical bound-state series solutions and the recursion relation of the linear-plus-Coulomb (Cornell) potential with the decaying position-dependent mass m=m_{0}e^{-\lambda r} are also found.
{
"annotation_id": "f1d430e1-4d9b-47b0-a64d-13b140d73d14",
"date_created": "2026-03-02T18:02:26.517000Z",
"date_modified": "2026-03-02T18:02:26.517000Z",
"file_hash": "d6f82cef4b3c913d4171a3c804abe85987f021bb9f52e62a3b449e3db5ccda4c",
"private": false,
"record": {
"abstract": "The analytical solutions of the N-dimensional Schrodinger equation with\nposition-dependent mass for a general class of central potentials is obtained\nvia the series expansion method. The position-dependent mass is expanded in\nseries about origin. As a special case, the analytical bound-state series\nsolutions and the recursion relation of the linear-plus-Coulomb (Cornell)\npotential with the decaying position-dependent mass m=m_{0}e^{-\\lambda r} are\nalso found.",
"arxiv_id": "quant-ph/0604095",
"authors": [
"Sameer M. Ikhdair",
"Ramazan Sever"
],
"categories": [
"quant-ph"
],
"title": "Series Solutions of the N-Dimensional Position-Dependent Mass Schrodinger Equation with a General Class of Potentials",
"url": "https://arxiv.org/abs/quant-ph/0604095"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "c4b1eae6-2879-4a6a-8d0a-f16607aa023c",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}