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Ikhdair, Sameer M.; Sever, Ramazan

Approximate eigenvalue and eigenfunction solutions for the generalized Hulthén potential with any angular momentum. (English) Zbl 1132.81352

J. Math. Chem. 42, No. 3, 461-471 (2007).
Summary: An approximate solution of the Schrödinger equation for the generalized Hulthén 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 Schrödinger equation with the associated form of Hulthén potential which simulate the effect of the centrifugal barrier for any \(l\)-state. The energy levels of the used Hulthén potential gives satisfactory values for the non-zero angular momentum as the generalized Hulthén effective potential.

Cited in 18 Documents

MSC:

81V55 Molecular physics
81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics

Keywords:

energy eigenvalues and eigenfunctions; Hulthén potential; Nikiforov-Uvarov method
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\textit{S. M. Ikhdair} and \textit{R. Sever}, J. Math. Chem. 42, No. 3, 461--471 (2007; Zbl 1132.81352)
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References:

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