Bound state solutions of the Manning–Rosen potential

Falaye, Adebanjo Joseph and Oyewumi, K.J and Ibrahim, T.T. and Punyasena, M.A and Onate, C.A (2013) Bound state solutions of the Manning–Rosen potential. Canadian Journal of Physics, 91. pp. 98-104.

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	Text ONATE 16b.pdf Download (217kB)

Abstract

Using the asymptotic iteration method (AIM), we have obtained analytical approximations to the ℓ-wave solutions of the Schrödinger 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 thecentrifugal term. To show the accuracy of our results, we have calculated the eigenvalues numerically for arbitrary quantumnumbers n and ℓ 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 Hulthén potential case are also presented.

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