Beyond conventional factorization: Non-Hermitian Hamiltonians with radial oscillator spectrum

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dc.creatorCabrera-Munguia, Ivan
dc.creatorRosas-Ortiz, Oscar
dc.date2009-02-24
dc.date.accessioned2026-07-07T12:46:38Z
dc.date.available2026-07-07T12:46:38Z
dc.descriptionThe eigenvalue problem of the spherically symmetric oscillator Hamiltonian is revisited in the context of canonical raising and lowering operators. The Hamiltonian is then factorized in terms of two not mutually adjoint factorizing operators which, in turn, give rise to a non-Hermitian radial Hamiltonian. The set of eigenvalues of this new Hamiltonian is exactly the same as the energy spectrum of the radial oscillator and the new square-integrable eigenfunctions are complex Darboux-deformations of the associated Laguerre polynomials.
dc.description13 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/0902.4043
dc.identifierhttp://arxiv.org/abs/0902.4043
dc.identifierJ. Phys. Conf. Ser. 128 (2008) 012042
dc.identifierdoi:10.1088/1742-6596/128/1/012042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221447
dc.subjectQuantum Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleBeyond conventional factorization: Non-Hermitian Hamiltonians with radial oscillator spectrum
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