A realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomials

Página do item simplificado
dc.contributor.authorGaletti, Diogenes [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (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.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.affiliationUniversidade Estadual Paulista Instituto de Física Teórica
dc.description.affiliationUnespUniversidade Estadual Paulista Instituto de Física Teórica
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.format.extent148-157
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.doi10.1590/S0103-97332003000100015
dc.identifier.fileS0103-97332003000100015.pdf
dc.identifier.issn0103-9733
dc.identifier.scieloS0103-97332003000100015
dc.identifier.urihttp://hdl.handle.net/11449/24692
dc.language.isoeng
dc.publisherSociedade Brasileira de Física
dc.relation.ispartofBrazilian Journal of Physics
dc.relation.ispartofjcr1.082
dc.relation.ispartofsjr0,276
dc.rights.accessRightsAcesso aberto
dc.sourceSciELO
dc.titleA realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomialsen
dc.typeArtigo
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

Arquivos

Pacote Original
Agora exibindo 1 - 1 de 1
Imagem de Miniatura
Nome:
S0103-97332003000100015.pdf
Tamanho:
102.8 KB
Formato:
Adobe Portable Document Format
Baixar
Licença do Pacote
Agora exibindo 1 - 2 de 2
Nenhuma Miniatura disponível
Nome:
license.txt
Tamanho:
1.71 KB
Formato:
Item-specific license agreed upon to submission
Descrição:
Nenhuma Miniatura disponível
Nome:
license.txt
Tamanho:
1.71 KB
Formato:
Item-specific license agreed upon to submission
Descrição:

Coleções

Artigos - Instituto de Física Teórica (IFT)