A perturbative treatment for the bound states of the Hellmann potential
详细信息 查看全文
- 作者：Sameer M. Ikhdair ; Ramazan Sever
- 关键词：Hellmann potential ; Perturbation theory
- 刊名：Journal of Molecular Structure: THEOCHEM
- 出版年：2007
- 出版时间：14 May 2007
- 年：2007
- 卷：809
- 期：1-3
- 页码：103-113
- 全文大小：195 K
文摘
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 En,ℓ yield quite accurate results for a wide range of n, ℓ 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.