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- W3122552384 abstract "Using the asymptotic iteration method (AIM), we have obtained analytical approximations to the $ell$-wave solutions of the Schr{o}dinger equation with the Manning-Rosen potential. The equation of 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 $ell$ 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$acute{e}$n potential case are also presented." @default.
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- W3122552384 date "2013-01-01" @default.
- W3122552384 modified "2023-10-18" @default.
- W3122552384 title "Bound state solutions of the Manning–Rosen potential" @default.
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- W3122552384 doi "https://doi.org/10.1139/cjp-2012-0330" @default.
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