Energy States of Some Diatomaic Molecules: The Exact Quantisation Rule Approach

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Journal Title, Volume, Page: 
Zeitschrift für Naturforschung A 01/2015; 70(2). DOI: 10.1515/zna-2014-0232
Year of Publication: 
2015
Authors: 
Babatunde J. Falaye
Applied Theoretical Physics Division, Department of Physics, Federal University Lafia, P. M. B. 146, Lafia, Nigeria
Sameer M. Ikhdair
Department of Physics, Faculty of Sciences, An-Najah National University, Nablus, Palestine
Current Affiliation: 
Department of Physics, Faculty of Sciences, An-Najah National University, Nablus, Palestine
Majid Hamzavi
Department of Physics, University of Zanjan, Zanjan, Iran
Preferred Abstract (Original): 

In this study, we obtain the approximate analytical solutions of the radial Schrödinger equation for the Deng–Fan diatomic molecular potential by using the exact quantisation rule approach. The wave functions were expressed by hypergeometric functions via the functional analysis approach. An extension to the rotational–vibrational energy eigenvalues of some diatomic molecules is also presented. It is shown that the calculated energy levels are in good agreement with those obtained previously (EnℓD; shifted Deng–Fan).