dorsal/arxiv
View SchemaArbitrary l-state solutions of the rotating Morse potential by the asymptotic iteration method
| Authors | O. Bayrak, I. Boztosun |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0604042 |
| URL | https://arxiv.org/abs/nucl-th/0604042 |
| DOI | 10.1088/0305-4470/39/22/010 |
| Journal | J.Phys.A39:6955-6964,2006 |
Abstract
For non-zero $\ell$ values, we present an analytical solution of the radial Schr\"{o}dinger equation for the rotating Morse potential using the Pekeris approximation within the framework of the Asymptotic Iteration Method. The bound state energy eigenvalues and corresponding wave functions are obtained for a number of diatomic molecules and the results are compared with the findings of the super-symmetry, the hypervirial perturbation, the Nikiforov-Uvarov, the variational, the shifted 1/N and the modified shifted 1/N expansion methods.
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"abstract": "For non-zero $\\ell$ values, we present an analytical solution of the radial\nSchr\\\"{o}dinger equation for the rotating Morse potential using the Pekeris\napproximation within the framework of the Asymptotic Iteration Method. The\nbound state energy eigenvalues and corresponding wave functions are obtained\nfor a number of diatomic molecules and the results are compared with the\nfindings of the super-symmetry, the hypervirial perturbation, the\nNikiforov-Uvarov, the variational, the shifted 1/N and the modified shifted 1/N\nexpansion methods.",
"arxiv_id": "nucl-th/0604042",
"authors": [
"O. Bayrak",
"I. Boztosun"
],
"categories": [
"nucl-th",
"math-ph",
"math.MP",
"quant-ph"
],
"doi": "10.1088/0305-4470/39/22/010",
"journal_ref": "J.Phys.A39:6955-6964,2006",
"title": "Arbitrary l-state solutions of the rotating Morse potential by the asymptotic iteration method",
"url": "https://arxiv.org/abs/nucl-th/0604042"
},
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