A perturbative treatment for the bound states of the Hellmann potential

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2007-05-14

Author

Ikhdair, Sameer M.
Sever, Ramazan

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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.

Subject Keywords

Physical and Theoretical Chemistry, Biochemistry, Condensed Matter Physics

URI

https://hdl.handle.net/11511/62419

Journal

JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM

DOI

https://doi.org/10.1016/j.theochem.2007.01.019

Collections

Department of Physics, Article

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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.