Although the idea of the so called supersymmetry (SUSY) connecting
bosons and fermions disappointed its proponents in the domain of
experimental particle physics heavily, its use proved, subsequently,
truly rewarding in the context of our understanding of bound states
in certain one-dimensional confining exactly solvable potentials of
quantum mechanics (review [5] may be consulted for more details).

Without a reference to SUSY, the serendipitous Ref. [1] revealed the
existence of one of such potentials purely empirically, but it did
not last too long before the authors of Ref. [2] revealed its
SUSY-mediated correspondence to harmonic oscillator. On this
background the present authors generalized this correspondence - the
job neatly done by having started from a three-parametric ansatz for
superpotential of Eq. (25).

MR2735228 (sent March 2011) Hall, Richard L. et al.,
   Generalized quantum isotonic nonlinear oscillator in $d$
   dimensions. J. Phys. A 43 (2010), no. 46