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Factorization of the Riesz-Feller Fractional Quantum Harmonic Oscillators

dc.contributor.authorRosu Barbus, Haret-Codratian
dc.contributor.authorMancas, Stefan C
dc.date.accessioned2021-04-26T19:14:03Z
dc.date.available2021-04-26T19:14:03Z
dc.date.issued2020
dc.identifier.citationH C Rosu and S C Mancas 2020 J. Phys.: Conf. Ser. 1540 012005
dc.identifier.urihttp://hdl.handle.net/11627/5587
dc.description.abstract"Using the Riesz-Feller fractional derivative, we apply the factorization algorithm to the fractional quantum harmonic oscillator along the lines previously proposed by Olivar-Romero and Rosas-Ortiz, extending their results. We solve the non-Hermitian fractional eigenvalue problem in the k space by introducing in that space a new class of Hermite 'polynomials' that we call Riesz-Feller Hermite 'polynomials'. Using the inverse Fourier transform in Mathematica, interesting analytic results for the same eigenvalue problem in the x space are also obtained. Additionally, a more general factorization with two different Lévy indices is briefly introduced."
dc.publisherIOP Publishing
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectFactorization
dc.subjectFractional
dc.subjectRiesz-Feller
dc.subjectSub-Gaussian
dc.subject.classificationFÍSICA
dc.titleFactorization of the Riesz-Feller Fractional Quantum Harmonic Oscillators
dc.typearticle
dc.identifier.doihttps://doi.org/10.1088/1742-6596/1540/1/012005
dc.rights.accessAcceso Abierto


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