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Shifted Deng–Fan oscillator potential

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Equivalence of the Empirical Shifted Deng–Fan Oscillator Potential for Diatomic Molecules

Tue, 2013-10-29 12:30 — Sameer. Ikhdair
Journal Title, Volume, Page: 
Journal of Mathematical Chemistry, Volume 51, Issue 1, pp 227-238
Year of Publication: 
2013
Link: 
http://link.springer.com/article/10.1007%2Fs10910-012-0075-x
Authors: 
S. M. Ikhdai
Physics Department, Near East University, North Cyprus, Mersin 10, 922022, Nicosia, Turkey
Current Affiliation: 
Department of Physics, Faculty of Science, An-Najah National University, Nablus, Palestine
[email protected]
M. Hamzavi
Department of Basic Sciences, Shahrood Branch, Islamic Azad University, Shahrood, Iran
K.-E. Thylwe
KTH-Mechanics, Royal Institute of Technology, 100 44, Stockholm, Sweden
Preferred Abstract (Original): 

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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