Approximate l-state solutions of the Manning-Rosen potential by the Nikiforov-Uvarov method
| dc.creator | Ikhdair, Sameer M. | |
| dc.creator | Sever, Ramazan | |
| dc.date | 2008-01-28 | |
| dc.date.accessioned | 2026-07-07T08:56:50Z | |
| dc.date.available | 2026-07-07T08:56:50Z | |
| dc.description | The Schrodinger equation for the Manning-Rosen potential with the centrifugal term is solved approximately to obtain bound states energies. Additionally, the corresponding wave functions are expressed by the Jacobi polynomials. The Nikiforov-Uvarov (${\rm NU}$) method is used in the calculations. To show the accuracy of our results, we calculate the eigenvalues numerically for arbitrary quantum numbers $n$ and $l$ with two different values of the potential parameter $α.$ It is shown that the results are in good agreement with the those obtained by other methods for short potential range, small $l$ and $α.$ This solution reduces to two cases $l=0$ and Hulthen potential case. | |
| dc.description | 22 pages | |
| dc.identifier | https://arxiv.org/abs/0801.4271 | |
| dc.identifier | http://arxiv.org/abs/0801.4271 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/146752 | |
| dc.subject | Quantum Physics | |
| dc.title | Approximate l-state solutions of the Manning-Rosen potential by the Nikiforov-Uvarov method | |
| dc.type | text |