This work deals with scalar field theories and supersymmetric quantum
mechanics. The investigation is inspired by a recent result, which shows how to
use the reconstruction mechanism to describe two distinct field theories from
the very same quantum mechanics potential, and by an older work, which
describes the deformation procedure that offers an interesting way to generate
and solve new scalar field theories, starting from a given model of current
interest. We use the procedure to unveil a new route, from which one can
describe families of scalar field theories that engender the very same quantum
mechanics potential. The approach can be applied algorithmically, and
implemented to generate models that give rise to distinct quantum mechanics
systems as well.Comment: 5 pages, 9 figures. To appear in EP
