Supersymmetry and the relationship between a class of singular potentials in arbitrary dimensions

Details Supersymmetry and the relationship between a class of singular potentials in arbitrary dimensions Supersymmetry and the relationship between a class of singular potentials in arbitrary dimensions

2001-06-25

arxiv.org/abs/quant-ph/0106142v3

Journal of Physics A, 34, 8271, 2001

Physics

Quantum Physics

13 pages article in LaTEX (uses standard article.sty). Please check "http://www1.gantep.edu.tr/~ozer" for other studies of Nuc

Scientific paper

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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