Discretizing the deformation parameter in the su(q)(2) quantum algebra

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dc.contributor.authorPalladino, B. E.
dc.contributor.authorFerreira, P. L.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T14:07:07Z
dc.date.available2014-05-20T14:07:07Z
dc.date.issued1998-02-01
dc.description.abstractInspired in recent works of Biedenham [1, 2] on the realization of the q-algebra su(q)(2), We show in this note that the condition [2j + 1](q) = N-q(j) = integer, implies the discretization of the deformation parameter alpha, where q = e(alpha). This discretization replaces the continuum associated to ct by an infinite sequence alpha(1), alpha(2), alpha(3),..., obtained for the values of j, which label the irreps of su(q)(2). The algebraic properties of N-q(j) are discussed in some detail, including its role as a trace, which conducts to the Clebsch-Gordan series for the direct product of irreps. The consequences of this process of discretization are discussed and its possible applications are pointed out. Although not a necessary one, the present prescription is valuable due to its algebraic simplicity especially in the regime of appreciable values of alpha.en
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, Brazil
dc.format.extent73-77
dc.identifierhttp://rmf.smf.mx/pdf/rmf/44/1/44_1_73.pdf
dc.identifier.citationRevista Mexicana de Fisica. Coyoacan: Sociedad Mexicana de Fisica, v. 44, n. 1, p. 73-77, 1998.
dc.identifier.fileWOS000072162200011.pdf
dc.identifier.issn0035-001X
dc.identifier.urihttp://hdl.handle.net/11449/23574
dc.identifier.wosWOS:000072162200011
dc.language.isoeng
dc.publisherSociedad Mexicana de Fisica
dc.relation.ispartofRevista Mexicana de Fisica
dc.relation.ispartofjcr0.595
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectsu(q)(2)pt
dc.subjectquantum algebraspt
dc.subjectparameter discretizationpt
dc.titleDiscretizing the deformation parameter in the su(q)(2) quantum algebraen
dc.typeArtigo
dcterms.licensehttp://rmf.smf.mx/page/rmf_instrucciones
dcterms.rightsHolderSociedad Mexicana de Fisica
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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