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

The eigenvalues of the potentials V-1(r) = A(1)/r + A(2)/r(2) + A(3)/r(3) + A(4)/r(4) and V-2(r) = B(1)r(2) B-2/r(2) + B-3/r(4) + B-4/r(6) and of the special cases of these potentials such as Kratzer and Goldman-Kr ivchenkov potentials, are obtained in N-dimensional space. The explicit dep endence of these potentials in higher-dimensional space is discussed, which has not been previously covered.