Abstract
We obtain the bound-state solutions of the radial Schrödinger equation with the shifted Deng–Fan oscillator potential in the frame of the Nikiforov-Uvarov method by employing Pekeris-type approximation to deal with the centrifugal term. The analytical expressions for the energy eigenvalues and the corresponding normalized wave functions are obtained in closed form for arbitrary l-state. The ro-vibrational energy levels for a few diatomic molecules are also calculated. They are found to be in good agreement with those ones previously obtained by the Morse potential.
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Hamzavi, M., Ikhdair, S.M. & Thylwe, KE. Equivalence of the empirical shifted Deng–Fan oscillator potential for diatomic molecules. J Math Chem 51, 227–238 (2013). https://doi.org/10.1007/s10910-012-0075-x
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DOI: https://doi.org/10.1007/s10910-012-0075-x