Exactly Solvable Hydrogen-like Potentials and Factorization Method

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.

LaTex file, 21 pages, 2 PostScript figures and some references added. To be published in J. Phys. A: Math. Gen. (1998)

References in corpus (4)

• New hydrogen-like potentials
• New Families of Isospectral Hydrogen-like potentials
• Ladder operators for isospectral oscillators
• Supersymmetric Construction of Exactly Solvable Potentials and Non-Linear Algebras

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