New Families of Isospectral Hydrogen-like potentials
Abstract
Description
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 $δ$ less than the ground state energy of the departure Hamiltonian is unnecessarily restrictive.
8 pages, LaTex, 2 PostScript figures. Minor changes, figures added
8 pages, LaTex, 2 PostScript figures. Minor changes, figures added