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.

8 pages, LaTex, 2 PostScript figures. Minor changes, figures added

References in corpus (3)

• New hydrogen-like potentials
• Exactly Solvable Hydrogen-like Potentials and Factorization Method
• Supersymmetric Construction of Exactly Solvable Potentials and Non-Linear Algebras

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