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Bound state solutions of the Deng–Fan molecular potential with the Pekeris-type approximation using the Nikiforov–Uvarov (N–U) method

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Abstract

By employing the Pekeris-type approximation to deal with the centrifugal term, we solve the Schrödinger equation with the Deng–Fan molecular potential for all values of \(l\) (orbital angular momentum quantum number). Using the Nikiforov–Uvarov (N–U) method, the approximate analytical bound state energy eigenvalues and the corresponding wave functions are obtained. The results obtained are in good agreement with those ones found in the literature. The bound state energy eigenvalues for a set of diatomic molecules (HCl, LiH, H\(_{2}\), ScH, TiH, VH, CrH, CuLi, TiC, NiC, ScN and ScF) corresponding to the Deng–Fan molecular potential for arbitrary values of n and \(l\) quantum numbers are reported.

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Acknowledgments

One of the authors KJO thanks the TWAS-UNESCO Associateship Scheme at Centers of Excellence in the South, Trieste, Italy for the award and the financial support. He also thanks his host Institution, School of Chemistry, University of Hyderabad, India. He acknowledges University of Ilorin for granting him leave; he also acknowledges eJDS (ICTP). The authors wish to thank Profs. P. G. Hajiogeorgiou, S.H. Dong, C.S. Jia, Z. Rong, Drs. C. Berkdermir, M. G. Eshghi, M. Hamzavi and H. Hassanabadi and G.F. Wei for communicating some of their research materials to him.

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Authors and Affiliations

  1. Theoretical Physics Section, University of Ilorin, P.M.B, 1515 , Ilorin, Nigeria

    K. J. Oyewumi, O. J. Oluwadare & O. A. Babalola

  2. School of Chemistry, University of Hyderabad, Hyderabad, 50046, India

    K. J. Oyewumi & K. D. Sen

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  1. K. J. Oyewumi
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  2. O. J. Oluwadare
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  3. K. D. Sen
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  4. O. A. Babalola
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Correspondence to K. J. Oyewumi.

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Oyewumi, K.J., Oluwadare, O.J., Sen, K.D. et al. Bound state solutions of the Deng–Fan molecular potential with the Pekeris-type approximation using the Nikiforov–Uvarov (N–U) method. J Math Chem 51, 976–991 (2013). https://doi.org/10.1007/s10910-012-0123-6

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