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

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.

13 pages article in LaTEX (uses standard article.sty). Please check "http://www1.gantep.edu.tr/~ozer" for other studies of Nuclear Physics Group at University of Gaziantep

Cited by in corpus (8)

• An Alternative Treatment for Yukawa-Type Potentials
• Fractional supersymmetry and hierarchy of shape invariant potentials
• Explicit Solutions for N-Dimensional Schrodinger Equations with Position-Dependent Mass
• Study of anharmonic singular potentials
• Remarks on the Woods-Saxon Potential
• Bound State Solutions of Klein-Gordon Equation with the Kratzer Potential
• A search on the Klein-Gordon equation
• The Quantum Mechanics Swampland