New Families of Isospectral Hydrogen-like potentials

Abstract

By applying algebraic techniques, we construct a two-parametric family of strictly isospectral Hydrogen-like potentials as well as some of its one-parametric limits. An additional one-parametric almost isospectral family of Hydrogen-like potentials is also investigated. It is argued that the construction of a SUSY partner Hamiltonian using a factorization energy $\delta$ less than the ground state energy of the departure Hamiltonian is unnecessarily restrictive.