2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53997Preliminary results concerning non-quadratic (and non-bijective) transformations that exibit a degree of parentage with the well known Levi-Civita, Kustaanheimo-Stiefel, and Fock transformations are reported in this article. Some of the new transformations are applied to non-relativistic quantum dynamical systems in two dimensions.7 pages, Tex, LYCEN 8829High Energy Physics - Theorytext