  As an extension of the intertwining operator idea, an algebraic method which
provides a link between supersymmetric quantum mechanics and quantum
(super)integrability is introduced. By realization of the method in two
dimensions, two infinite families of superintegrable and isospectral stationary
potentials are generated. The method makes it possible to perform Darboux
transformations in such a way that, in addition to the isospectral property,
they acquire the superintegrability preserving property. Symmetry generators
are second and fourth order in derivatives and all potentials are isospectral
with one of the Smorodinsky-Winternitz potentials. Explicit expressions of the
potentials, their dynamical symmetry generators and the algebra they obey as
well as their degenerate spectra and corresponding normalizable states are
presented.
