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Energy states of some diatomic molecules: Exact quantization rule approach

Chemical Physics 2015-04-09 v1 Quantum Physics

Abstract

In this study, we obtain the approximate analytical solutions of the radial Schr\"{o}dinger equation for the Deng-Fan diatomic molecular potential by using exact quantization rule approach. The wave functions have been expressed by hypergeometric functions via the functional analysis approach. An extension to rotational-vibrational energy eigenvalues of some diatomic molecules are also presented. It is shown that the calculated energy levels are in good agreement with the ones obtained previously EnDE_{n\ell}-D (shifted Deng-Fan).

Keywords

Cite

@article{arxiv.1504.01725,
  title  = {Energy states of some diatomic molecules: Exact quantization rule approach},
  author = {Babatunde. J. Falaye and Sameer M. Ikhdair and Majid Hamzavi},
  journal= {arXiv preprint arXiv:1504.01725},
  year   = {2015}
}