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Exactly Solvable Hydrogen-like Potentials and Factorization Method

J. Oscar Rosas-Ortiz
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Abstract

A set of factorization energies is introduced, giving rise to a generalization of the Schrödinger (or Infeld and Hull) factorization for the radial hydrogen-like Hamiltonian. An algebraic intertwining technique involving such factorization energies leads to derive $n$-parametric families of potentials in general almost-isospectral to the hydrogen-like radial Hamiltonians. The construction of SUSY partner Hamiltonians with ground state energies greater than the corresponding ground state energy of the initial Hamiltonian is also explicitly performed.

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J. Oscar Rosas-Ortiz. 1998-10-28. Exactly Solvable Hydrogen-like Potentials and Factorization Method. https://doi.org/10.1088/0305-4470%2F31%2F50%2F012

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