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

B. Gonul·O. Ozer·M. Kocak·D. Tutcu·Y. Cancelik
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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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B. Gonul, O. Ozer, M. Kocak, D. Tutcu, Y. Cancelik. 2002-11-27. Supersymmetry and the relationship between a class of singular potentials in arbitrary dimensions. https://doi.org/10.1088/0305-4470%2F34%2F40%2F305

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