dorsal/arxiv
View SchemaSupersymmetry and the relationship between a class of singular potentials in arbitrary dimensions
| Authors | B. Gonul, O. Ozer, M. Kocak, D. Tutcu, Y. Cancelik |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106142 |
| URL | https://arxiv.org/abs/quant-ph/0106142 |
| DOI | 10.1088/0305-4470/34/40/305 |
| Journal | Journal of Physics A, 34, 8271, 2001 |
Abstract
The eigenvalues of the potentials $V_{1}(r)=\frac{A_{1}}{r}+\frac{A_{2}}{r^{2}}+\frac{A_{3}}{r^{3}}+\frac{A_{4 }}{r^{4}}$ and $V_{2}(r)=B_{1}r^{2}+\frac{B_{2}}{r^{2}}+\frac{B_{3}}{r^{4}}+\frac{B_{4}}{r^ {6}}$, and of the special cases of these potentials such as the Kratzer and Goldman-Krivchenkov potentials, are obtained in N-dimensional space. The explicit dependence of these potentials in higher-dimensional space is discussed, which have not been previously covered.
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"abstract": "The eigenvalues of the potentials\n$V_{1}(r)=\\frac{A_{1}}{r}+\\frac{A_{2}}{r^{2}}+\\frac{A_{3}}{r^{3}}+\\frac{A_{4\n}}{r^{4}}$ and\n$V_{2}(r)=B_{1}r^{2}+\\frac{B_{2}}{r^{2}}+\\frac{B_{3}}{r^{4}}+\\frac{B_{4}}{r^\n{6}}$, and of the special cases of these potentials such as the Kratzer and\nGoldman-Krivchenkov potentials, are obtained in N-dimensional space. The\nexplicit dependence of these potentials in higher-dimensional space is\ndiscussed, which have not been previously covered.",
"arxiv_id": "quant-ph/0106142",
"authors": [
"B. Gonul",
"O. Ozer",
"M. Kocak",
"D. Tutcu",
"Y. Cancelik"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/34/40/305",
"journal_ref": "Journal of Physics A, 34, 8271, 2001",
"title": "Supersymmetry and the relationship between a class of singular potentials in arbitrary dimensions",
"url": "https://arxiv.org/abs/quant-ph/0106142"
},
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