dorsal/arxiv
View SchemaExact solutions of the Schrodinger equation in D-dimensions for the pseudoharmonic potential plus ring-shaped potential
| Authors | Sameer M. Ikhdair, Ramazan Sever |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703131 |
| URL | https://arxiv.org/abs/quant-ph/0703131 |
| Journal | Cent. Eur. J. Phys. 6, 685(2008) |
Abstract
We present analytically the exact energy bound-states solutions of the Schrodinger equation in $D$-dimensions for a pseudoharmonic potential plus ring-shaped potential of the form $V(r,\theta)=D_{e}(\frac{r}{% r_{e}}-\frac{r_{e}}{r}) ^{2}+\frac{\beta \cos ^{2}\theta}{r^{2}\sin ^{2}\theta}$ by means of the conventional Nikiforov-Uvarov method. We also give a clear recipe of how to obtain an explicit solution to the radial and angular parts of the wave functions in terms of orthogonal polynomials. The total energy of the system is different from the pseudoharmonic potential because of the contribution of the angular part. The general results obtained in this work can be reduced to the standard forms given in the literature.
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"abstract": "We present analytically the exact energy bound-states solutions of the\nSchrodinger equation in $D$-dimensions for a pseudoharmonic potential plus\nring-shaped potential of the form $V(r,\\theta)=D_{e}(\\frac{r}{%\nr_{e}}-\\frac{r_{e}}{r}) ^{2}+\\frac{\\beta \\cos ^{2}\\theta}{r^{2}\\sin\n^{2}\\theta}$ by means of the conventional Nikiforov-Uvarov method. We also give\na clear recipe of how to obtain an explicit solution to the radial and angular\nparts of the wave functions in terms of orthogonal polynomials. The total\nenergy of the system is different from the pseudoharmonic potential because of\nthe contribution of the angular part. The general results obtained in this work\ncan be reduced to the standard forms given in the literature.",
"arxiv_id": "quant-ph/0703131",
"authors": [
"Sameer M. Ikhdair",
"Ramazan Sever"
],
"categories": [
"quant-ph"
],
"journal_ref": "Cent. Eur. J. Phys. 6, 685(2008)",
"title": "Exact solutions of the Schrodinger equation in D-dimensions for the pseudoharmonic potential plus ring-shaped potential",
"url": "https://arxiv.org/abs/quant-ph/0703131"
},
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