New Families of Isospectral Hydrogen-like potentials

Details New Families of Isospectral Hydrogen-like potentials New Families of Isospectral Hydrogen-like potentials

1998-03-12

arxiv.org/abs/quant-ph/9803029v2

J. Phys. A: Math. Gen. 31 (1998) L507-L513

Physics

Quantum Physics

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

Scientific paper

10.1088/0305-4470/31/27/003

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.

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