Algebraic properties of Rogers-Szego functions: I. Applications in quantum optics

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dc.contributor.authorMarchiolli, M. A. [UNESP]
dc.contributor.authorRuzzi, M. [UNESP]
dc.contributor.authorGaletti, Diogenes [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2013-09-30T18:53:28Z
dc.date.accessioned2014-05-20T14:09:25Z
dc.date.available2013-09-30T18:53:28Z
dc.date.available2014-05-20T14:09:25Z
dc.date.issued2009-09-18
dc.description.abstractBy means of a well-established algebraic framework, Rogers-Szego functions associated with a circular geometry in the complex plane are introduced in the context of q-special functions, and their properties are discussed in detail. The eigenfunctions related to the coherent and phase states emerge from this formalism as infinite expansions of Rogers-Szego functions, the coefficients being determined through proper eigenvalue equations in each situation. Furthermore, a complementary study on the Robertson-Schrodinger and symmetrical uncertainty relations for the cosine, sine and nondeformed number operators is also conducted, corroborating, in this way, certain features of q-deformed coherent states.en
dc.description.affiliationUniv Estadual Paulista, Inst Fis Teor, BR-01156970 São Paulo, Brazil
dc.description.affiliationUnespUniv Estadual Paulista, Inst Fis Teor, BR-01156970 São Paulo, Brazil
dc.format.extent24
dc.identifierhttp://dx.doi.org/10.1088/1751-8113/42/37/375206
dc.identifier.citationJournal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 42, n. 37, p. 24, 2009.
dc.identifier.doi10.1088/1751-8113/42/37/375206
dc.identifier.issn1751-8113
dc.identifier.urihttp://hdl.handle.net/11449/24160
dc.identifier.wosWOS:000269474000011
dc.language.isoeng
dc.publisherIop Publishing Ltd
dc.relation.ispartofJournal of Physics A: Mathematical and Theoretical
dc.relation.ispartofjcr1.963
dc.relation.ispartofsjr0,843
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.titleAlgebraic properties of Rogers-Szego functions: I. Applications in quantum opticsen
dc.typeArtigo
dcterms.licensehttp://iopscience.iop.org/info/page/openaccess
dcterms.rightsHolderIop Publishing Ltd
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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