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dc.contributor.authorGaletti, Diogenes [UNESP]
dc.date.accessioned2013-09-30T19:03:17Z
dc.date.accessioned2014-05-20T14:14:13Z
dc.date.available2013-09-30T19:03:17Z
dc.date.available2014-05-20T14:14:13Z
dc.date.issued2003-03-01
dc.identifierhttp://dx.doi.org/10.1590/S0103-97332003000100015
dc.identifier.citationBrazilian Journal of Physics. Sociedade Brasileira de Física, v. 33, n. 1, p. 148-157, 2003.
dc.identifier.issn0103-9733
dc.identifier.urihttp://hdl.handle.net/11449/24692
dc.description.abstractWe discuss some results from q-series that can account for the foundations for the introduction of orthogonal polynomials on the circle and on the line, namely the Rogers-Szegö and Stieltjes-Wigert polynomials. These polynomials are explicitly written and their orthogonality is verified. Explicit realizations of the raising and lowering operators for these polynomials are introduced in analogy to those of the Hermite polynomials that are shown to obey the q-commutation relations associated with the q-deformed harmonic oscillator.en
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.format.extent148-157
dc.language.isoeng
dc.publisherSociedade Brasileira de Física
dc.relation.ispartofBrazilian Journal of Physics
dc.sourceSciELO
dc.titleA realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomialsen
dc.typeArtigo
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.description.affiliationUniversidade Estadual Paulista Instituto de Física Teórica
dc.description.affiliationUnespUniversidade Estadual Paulista Instituto de Física Teórica
dc.identifier.doi10.1590/S0103-97332003000100015
dc.identifier.scieloS0103-97332003000100015
dc.rights.accessRightsAcesso aberto
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Física Teórica (IFT), São Paulopt
dc.identifier.fileS0103-97332003000100015.pdf
dc.relation.ispartofjcr1.082
dc.relation.ispartofsjr0,276
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