Browsing by Author "Oyewumi, K.J."

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    Bound state solutions of the Manning-Rosen potential
    (Canadian Journal of Physics, 2013) Falaiye, B.J.; Oyewumi, K.J.; Ibrahim, T.T.; Punyasena, M.A.; Onate, C.A.
    Using the asymptotic iteration method (AIM), we have obtained analytical approximations to the ?-wave solutions of the Schr�dinger equation with the Manning?Rosen potential. The energy eigenvalues equation and the corresponding wavefunctions have been obtained explicitly. Three different Pekeris-type approximation schemes have been used to deal with the centrifugal term. To show the accuracy of our results, we have calculated the eigenvalues numerically for arbitrary quantum numbers n and ? for some diatomic molecules (HCl, CH, LiH, and CO). It is found that the results are in good agreement with other results found in the literature. A straightforward extension to the s-wave case and Hulth�n potential case are also presented.