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Title: | Bound state solutions of the Manning-Rosen potential |
Authors: | Falaiye, B.J. Oyewumi, K.J. Ibrahim, T.T. Punyasena, M.A. Onate, C.A. |
Keywords: | Physics; Physics - Experiments; Potential theroy (Physics); Bound states (Quantum mechanics) |
Issue Date: | 2013 |
Publisher: | Canadian Journal of Physics |
Abstract: | 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. |
URI: | http://repository.kln.ac.lk/handle/123456789/4152 |
Appears in Collections: | Physics |
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