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

Detalhes bibliográficos
Autor(a) principal: Galetti, D.
Data de Publicação: 2003
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://hdl.handle.net/11449/195738
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-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.
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spelling A realization of the q-deformed harmonic oscillator: Rogers-Szego 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-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.UNESP, Inst Fis Teor, BR-01405900 Sao Paulo, SP, BrazilUNESP, Inst Fis Teor, BR-01405900 Sao Paulo, SP, BrazilSociedade Brasileira FisicaUniversidade Estadual Paulista (Unesp)Galetti, D.2020-12-10T18:01:49Z2020-12-10T18:01:49Z2003-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article148-157Brazilian Journal Of Physics. Sao Paulo: Sociedade Brasileira Fisica, v. 33, n. 1, p. 148-157, 2003.0103-9733http://hdl.handle.net/11449/195738WOS:000182936700015Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBrazilian Journal Of Physicsinfo:eu-repo/semantics/openAccess2021-10-23T11:33:36Zoai:repositorio.unesp.br:11449/195738Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T22:12:05.352255Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv A realization of the q-deformed harmonic oscillator: Rogers-Szego and Stieltjes-Wigert polynomials
title A realization of the q-deformed harmonic oscillator: Rogers-Szego and Stieltjes-Wigert polynomials
spellingShingle A realization of the q-deformed harmonic oscillator: Rogers-Szego and Stieltjes-Wigert polynomials
Galetti, D.
title_short A realization of the q-deformed harmonic oscillator: Rogers-Szego and Stieltjes-Wigert polynomials
title_full A realization of the q-deformed harmonic oscillator: Rogers-Szego and Stieltjes-Wigert polynomials
title_fullStr A realization of the q-deformed harmonic oscillator: Rogers-Szego and Stieltjes-Wigert polynomials
title_full_unstemmed A realization of the q-deformed harmonic oscillator: Rogers-Szego and Stieltjes-Wigert polynomials
title_sort A realization of the q-deformed harmonic oscillator: Rogers-Szego and Stieltjes-Wigert polynomials
author Galetti, D.
author_facet Galetti, D.
author_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Galetti, D.
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-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.
publishDate 2003
dc.date.none.fl_str_mv 2003-03-01
2020-12-10T18:01:49Z
2020-12-10T18:01:49Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv Brazilian Journal Of Physics. Sao Paulo: Sociedade Brasileira Fisica, v. 33, n. 1, p. 148-157, 2003.
0103-9733
http://hdl.handle.net/11449/195738
WOS:000182936700015
identifier_str_mv Brazilian Journal Of Physics. Sao Paulo: Sociedade Brasileira Fisica, v. 33, n. 1, p. 148-157, 2003.
0103-9733
WOS:000182936700015
url http://hdl.handle.net/11449/195738
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Brazilian Journal Of Physics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 148-157
dc.publisher.none.fl_str_mv Sociedade Brasileira Fisica
publisher.none.fl_str_mv Sociedade Brasileira Fisica
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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