Equivalence of the empirical shifted Deng–Fan oscillator potential for diatomic molecules

Authors: Hamzavi, M, Thylwe, K.-E., Ikhdair, S. M.
Document Type: Article
Pubstate: Published
Journal: J. Math. Chem.
Volume: 51   227-238
Year: 2013


We obtain the bound-state solutions of the radial Schro?dinger 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 normal- ized 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.