dorsal/arxiv
View SchemaOn the solutions of the Schrodinger equation with some molecular potentials: wave function ansatz
| Authors | Sameer M. Ikhdair, Ramazan Sever |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702052 |
| URL | https://arxiv.org/abs/quant-ph/0702052 |
| DOI | 10.2478/s11534-008-0060-y |
| Journal | Cent. Eur. J. Phys. 6, 697(2008) |
Abstract
Making an ansatz to the wave function, the exact solutions of the $D$% -dimensional radial Schrodinger equation with some molecular potentials like pseudoharmonic and modified Kratzer potentials are obtained. The restriction on the parameters of the given potential, $\delta $ and $\eta $ are also given, where $\eta $ depends on a linear combination of the angular momentum quantum number $\ell $ and the spatial dimensions $D$ and $\delta $ is a parameter in the ansatz to the wave function. On inserting D=3, we find that the bound state eigensolutions recover their standard analytical forms in literature.
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"abstract": "Making an ansatz to the wave function, the exact solutions of the $D$%\n-dimensional radial Schrodinger equation with some molecular potentials like\npseudoharmonic and modified Kratzer potentials are obtained. The restriction on\nthe parameters of the given potential, $\\delta $ and $\\eta $ are also given,\nwhere $\\eta $ depends on a linear combination of the angular momentum quantum\nnumber $\\ell $ and the spatial dimensions $D$ and $\\delta $ is a parameter in\nthe ansatz to the wave function. On inserting D=3, we find that the bound state\neigensolutions recover their standard analytical forms in literature.",
"arxiv_id": "quant-ph/0702052",
"authors": [
"Sameer M. Ikhdair",
"Ramazan Sever"
],
"categories": [
"quant-ph"
],
"doi": "10.2478/s11534-008-0060-y",
"journal_ref": "Cent. Eur. J. Phys. 6, 697(2008)",
"title": "On the solutions of the Schrodinger equation with some molecular potentials: wave function ansatz",
"url": "https://arxiv.org/abs/quant-ph/0702052"
},
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