Article

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

Journal of Physics A General Physics 07/2001; DOI:10.1088/0305-4470/34/40/305
Source: arXiv

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.

0 0
·
0 Bookmarks
·
34 Views
• Source
##### Chapter: Physics of Atoms and Molecules
Prentice Hall (Pearson Prentice Hall (Pearson Education Ltd).
• For an overview of the impact of supersymmetry, see. V A Kostelecky, D K Campell .
• Atoms and Molecular Physics (Cambridge. M Kaplus, R N Porter, R J Le, R B Roy, Bernstein .