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

Detalhes bibliográficos
Autor(a) principal: Galetti,Diógenes
Data de Publicação: 2003
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Brazilian Journal of Physics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332003000100015
Resumo: We 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.
id SBF-2_5435ff74114f75931d8529d41238ea69
oai_identifier_str oai:scielo:S0103-97332003000100015
network_acronym_str SBF-2
network_name_str Brazilian Journal of Physics
repository_id_str
spelling A realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomialsWe 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.Sociedade Brasileira de Física2003-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332003000100015Brazilian Journal of Physics v.33 n.1 2003reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332003000100015info:eu-repo/semantics/openAccessGaletti,Diógeneseng2003-04-23T00:00:00Zoai:scielo:S0103-97332003000100015Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2003-04-23T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv A realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomials
title A realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomials
spellingShingle A realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomials
Galetti,Diógenes
title_short A realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomials
title_full A realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomials
title_fullStr A realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomials
title_full_unstemmed A realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomials
title_sort A realization of the q-deformed harmonic oscillator: rogers-Szegö and Stieltjes-Wigert polynomials
author Galetti,Diógenes
author_facet Galetti,Diógenes
author_role author
dc.contributor.author.fl_str_mv Galetti,Diógenes
description We 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.
publishDate 2003
dc.date.none.fl_str_mv 2003-03-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332003000100015
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332003000100015
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0103-97332003000100015
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Brazilian Journal of Physics v.33 n.1 2003
reponame:Brazilian Journal of Physics
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Brazilian Journal of Physics
collection Brazilian Journal of Physics
repository.name.fl_str_mv Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br
_version_ 1754734860126126080

Registros relacionados