Equivalence of the empirical shifted Deng-Fan oscillator potential for diatomic molecules
arXiv:1207.0687 · doi:10.1007/s10910-012-0075-x
Abstract
We obtain the bound-state solutions of the radial Schrödinger equation (SE) with the shifted Deng-Fan (sDF) oscillator potential in the frame of the Nikiforov-Uvarov (NU) method and employing Pekeris-type approximation to deal with the centrifugal term. The analytical expressions for the energy eigenvalues and the corresponding wave functions are obtained in closed form for arbitrary -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.
14 pages, 2 figure; to appear in Journal of Mathematical Chemistry (2012)
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