dorsal/arxiv
View SchemaBound state solution of the Schrodinger equation for Mie potential
| Authors | Ramazan Sever, Mahmut Bucurgat, Cevdet Tezcan, Ozlem Yesiltas |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701227 |
| URL | https://arxiv.org/abs/quant-ph/0701227 |
| Journal | J. Math, Chem. 43, 749(2007) |
Abstract
Exact solution of Schrodinger equation for the Mie potential is obtained for an arbitrary angular momentum. The energy eigenvalues and the corresponding wavefunctions are calculated by the use of the Nikiforov-Uvarov method. Wavefunctions are expressed in terms of Jacobi polynomials. The bound states are calculated numerically for some values of l and $n$ with n<5. They are applied to several diatomic molecules.
{
"annotation_id": "14e72bac-ca65-4619-bf94-68b1cabf7681",
"date_created": "2026-03-02T18:02:34.045000Z",
"date_modified": "2026-03-02T18:02:34.045000Z",
"file_hash": "228b6d4f367564e10fdf7cceb1daa5a439817236ee3a89392e63d5e2875cd9d5",
"private": false,
"record": {
"abstract": "Exact solution of Schrodinger equation for the Mie potential is obtained for\nan arbitrary angular momentum. The energy eigenvalues and the corresponding\nwavefunctions are calculated by the use of the Nikiforov-Uvarov method.\nWavefunctions are expressed in terms of Jacobi polynomials. The bound states\nare calculated numerically for some values of l and $n$ with n\u003c5. They are\napplied to several diatomic molecules.",
"arxiv_id": "quant-ph/0701227",
"authors": [
"Ramazan Sever",
"Mahmut Bucurgat",
"Cevdet Tezcan",
"Ozlem Yesiltas"
],
"categories": [
"quant-ph"
],
"journal_ref": "J. Math, Chem. 43, 749(2007)",
"title": "Bound state solution of the Schrodinger equation for Mie potential",
"url": "https://arxiv.org/abs/quant-ph/0701227"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b8b6e9f2-77a4-407d-9c8f-46ff35140edd",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}