A perturbative treatment for the bound states of the Hellmann potential

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2007-05-14
Ikhdair, Sameer M.
Sever, Ramazan
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 bexp(-delta r)/r of arbitrary strength h and screening parameter delta. Although the analytic expressions for the energy eigenvalues E(n,l) yield quite accurate results for a wide range of n, f in the limit of very weak screening, the results become gradually worse as the strength b and the screening coefficient 6 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.
JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM

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Citation Formats
S. M. Ikhdair and R. Sever, “A perturbative treatment for the bound states of the Hellmann potential,” JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, pp. 103–113, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62419.