Approximate eigenvalue and eigenfunction solutions for the generalized Hulthen potential with any angular momentum

Date

2007-10-01

Author

Ikhdair, Sameer M.
Sever, Ramazan

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An approximate solution of the Schrodinger equation for the generalized Hulthen potential with non-zero angular quantum number is solved. The bound state energy eigenvalues and eigenfunctions are obtained in terms of Jacobi polynomials. The Nikiforov-Uvarov method is used in the computations. We have considered the time-independent Schrodinger equation with the associated form of Hulthen potential which simulate the effect of the centrifugal barrier for any l-state. The energy levels of the used Hulthen potential gives satisfactory values for the non-zero angular momentum as the generalized Hulthen effective potential.

Subject Keywords

Energy eigenvalues and eigenfunctions, Hulthen potential, Nikiforov-Uvarov method

URI

https://hdl.handle.net/11511/62586

Journal

JOURNAL OF MATHEMATICAL CHEMISTRY

DOI

https://doi.org/10.1007/s10910-006-9115-8

Collections

Department of Physics, Article

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Citation Formats

S. M. Ikhdair and R. Sever, “Approximate eigenvalue and eigenfunction solutions for the generalized Hulthen potential with any angular momentum,” JOURNAL OF MATHEMATICAL CHEMISTRY, pp. 461–471, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/62586.