A perturbative treatment for the bound states of the Hellmann potential
| dc.creator | Ikhdair, Sameer M. | |
| dc.creator | Sever, Ramazan | |
| dc.date | 2006-03-23 | |
| dc.date.accessioned | 2026-07-07T07:57:43Z | |
| dc.date.available | 2026-07-07T07:57:43Z | |
| dc.description | A new approximation formalism is applied to study the bound states of the Hellmann potential, which represents the superposition of the attractive Coulomb potential $-a/r$ and the Yukawa potential $b\exp (-δr)/r$ of arbitrary strength $b$ and screening parameter $δ$. Although the analytic expressions for the energy eigenvalues $E_{n,l\text{}}$ yield quite accurate results for a wide range of $n,\ell $ in the limit of very weak screening, the results become gradually worse as the strength $b$ and the screening coefficient $δ$ increase. This is because that the expansion parameter is not sufficiently small enough to guarantee the convergence of the expansion series for the energy levels. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0603205 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0603205 | |
| dc.identifier | THEOCHEM 809, 103 (2007) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127746 | |
| dc.subject | Quantum Physics | |
| dc.title | A perturbative treatment for the bound states of the Hellmann potential | |
| dc.type | text |