Between Schroedinger and Hermite: Supersymmetric pair of q-deformed non-local operators

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dc.creatorRosu, H. C.
dc.date1999-04-12
dc.date1999-04-26
dc.date.accessioned2026-07-07T06:16:23Z
dc.date.available2026-07-07T06:16:23Z
dc.descriptionA simple version of the q-deformed calculus is used to generate a pair of q-nonlocal, second-order difference operators by means of deformed counterparts of Darboux intertwining operators for zero factorization energy. These deformed non-local operators may be considered as supersymmetric partners and their structure contains contributions originating in both the Hermite operator and the quantum harmonic oscillator operator. There are also extra $\pm x$ contributions. The undeformed limit, in which all q-nonlocalities wash out, corresponds to the usual supersymmetric pair of quantum mechanical harmonic oscillator Hamiltonians. The more general case of negative factorization energy is briefly discussed as well
dc.description6 pages, LaTex, a phrase more with respect to v1 (Don't work on sign errors during weekends!)
dc.identifierhttps://arxiv.org/abs/quant-ph/9904046
dc.identifierhttp://arxiv.org/abs/quant-ph/9904046
dc.identifierInt. J. Theor. Phys. 39 (Sept. 2000) 2191-2196
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/94047
dc.subjectQuantum Physics
dc.titleBetween Schroedinger and Hermite: Supersymmetric pair of q-deformed non-local operators
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