Bound state solutions of the Manning-Rosen potential
| Autor: | Babatunde J. Falaye, M. A. Punyasena, Kayode John Oyewumi, T. T. Ibrahim, C. A. Onate |
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| Jazyk: | angličtina |
| Rok vydání: | 2012 |
| Předmět: |
Physics
Quantum Physics Iterative method FOS: Physical sciences General Physics and Astronomy Mathematical Physics (math-ph) Extension (predicate logic) Diatomic molecule Schrödinger equation Term (time) symbols.namesake Bound state symbols Applied mathematics Physics::Chemical Physics Quantum Physics (quant-ph) Wave function Eigenvalues and eigenvectors Mathematical Physics |
| Popis: | 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. Comment: 14 pages, 6 tables |
| Databáze: | OpenAIRE |
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