A realization of the q-deformed harmonic oscillator: Rogers-Szego and Stieltjes-Wigert polynomials

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dc.contributor.authorGaletti, D.
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2020-12-10T18:01:49Z
dc.date.available2020-12-10T18:01:49Z
dc.date.issued2003-03-01
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-Szego 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.affiliationUNESP, Inst Fis Teor, BR-01405900 Sao Paulo, SP, Brazil
dc.description.affiliationUnespUNESP, Inst Fis Teor, BR-01405900 Sao Paulo, SP, Brazil
dc.format.extent148-157
dc.identifier.citationBrazilian Journal Of Physics. Sao Paulo: Sociedade Brasileira Fisica, v. 33, n. 1, p. 148-157, 2003.
dc.identifier.issn0103-9733
dc.identifier.urihttp://hdl.handle.net/11449/195738
dc.identifier.wosWOS:000182936700015
dc.language.isoeng
dc.publisherSociedade Brasileira Fisica
dc.relation.ispartofBrazilian Journal Of Physics
dc.sourceWeb of Science
dc.titleA realization of the q-deformed harmonic oscillator: Rogers-Szego and Stieltjes-Wigert polynomialsen
dc.typeArtigo
dcterms.rightsHolderSociedade Brasileira Fisica

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