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Exactly Solvable Hydrogen-like Potentials and Factorization Method | | J. Oscar Rosas-Ortiz
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5 Jun 1998 | | Journal: | J.Phys. A31 (1998) 10163-10179 | | Subject: | quant-ph | | 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. | | Source: | arXiv, quant-ph/9806020 | | Services: | Forum | Review | PDF | Favorites | |
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