dorsal/arxiv
View SchemaExactly Solvable Hydrogen-like Potentials and Factorization Method
| Authors | J. Oscar Rosas-Ortiz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806020 |
| URL | https://arxiv.org/abs/quant-ph/9806020 |
| DOI | 10.1088/0305-4470/31/50/012 |
| Journal | J.Phys.A31:10163-10179,1998 |
Abstract
A set of factorization energies is introduced, giving rise to a generalization of the Schr\"{o}dinger (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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"abstract": "A set of factorization energies is introduced, giving rise to a\ngeneralization of the Schr\\\"{o}dinger (or Infeld and Hull) factorization for\nthe radial hydrogen-like Hamiltonian. An algebraic intertwining technique\ninvolving such factorization energies leads to derive $n$-parametric families\nof potentials in general almost-isospectral to the hydrogen-like radial\nHamiltonians. The construction of SUSY partner Hamiltonians with ground state\nenergies greater than the corresponding ground state energy of the initial\nHamiltonian is also explicitly performed.",
"arxiv_id": "quant-ph/9806020",
"authors": [
"J. Oscar Rosas-Ortiz"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/31/50/012",
"journal_ref": "J.Phys.A31:10163-10179,1998",
"title": "Exactly Solvable Hydrogen-like Potentials and Factorization Method",
"url": "https://arxiv.org/abs/quant-ph/9806020"
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