Discretizing the deformation parameter in the su(q)(2) quantum algebra
Autor(a) principal: | |
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Data de Publicação: | 1998 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://rmf.smf.mx/pdf/rmf/44/1/44_1_73.pdf http://hdl.handle.net/11449/23574 |
Resumo: | Inspired in recent works of Biedenham [1, 2] on the realization of the q-algebra su(q)(2), We show in this note that the condition [2j + 1](q) = N-q(j) = integer, implies the discretization of the deformation parameter alpha, where q = e(alpha). This discretization replaces the continuum associated to ct by an infinite sequence alpha(1), alpha(2), alpha(3),..., obtained for the values of j, which label the irreps of su(q)(2). The algebraic properties of N-q(j) are discussed in some detail, including its role as a trace, which conducts to the Clebsch-Gordan series for the direct product of irreps. The consequences of this process of discretization are discussed and its possible applications are pointed out. Although not a necessary one, the present prescription is valuable due to its algebraic simplicity especially in the regime of appreciable values of alpha. |
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Discretizing the deformation parameter in the su(q)(2) quantum algebrasu(q)(2)quantum algebrasparameter discretizationInspired in recent works of Biedenham [1, 2] on the realization of the q-algebra su(q)(2), We show in this note that the condition [2j + 1](q) = N-q(j) = integer, implies the discretization of the deformation parameter alpha, where q = e(alpha). This discretization replaces the continuum associated to ct by an infinite sequence alpha(1), alpha(2), alpha(3),..., obtained for the values of j, which label the irreps of su(q)(2). The algebraic properties of N-q(j) are discussed in some detail, including its role as a trace, which conducts to the Clebsch-Gordan series for the direct product of irreps. The consequences of this process of discretization are discussed and its possible applications are pointed out. Although not a necessary one, the present prescription is valuable due to its algebraic simplicity especially in the regime of appreciable values of alpha.Univ Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, BrazilUniv Estadual Paulista, Inst Fis Teor, BR-01405900 São Paulo, BrazilSociedad Mexicana de FisicaUniversidade Estadual Paulista (Unesp)Palladino, B. E.Ferreira, P. L.2014-05-20T14:07:07Z2014-05-20T14:07:07Z1998-02-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article73-77application/pdfhttp://rmf.smf.mx/pdf/rmf/44/1/44_1_73.pdfRevista Mexicana de Fisica. Coyoacan: Sociedad Mexicana de Fisica, v. 44, n. 1, p. 73-77, 1998.0035-001Xhttp://hdl.handle.net/11449/23574WOS:000072162200011WOS000072162200011.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengRevista Mexicana de Fisica0.595info:eu-repo/semantics/openAccess2024-01-01T06:20:20Zoai:repositorio.unesp.br:11449/23574Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:51:18.562386Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Discretizing the deformation parameter in the su(q)(2) quantum algebra |
title |
Discretizing the deformation parameter in the su(q)(2) quantum algebra |
spellingShingle |
Discretizing the deformation parameter in the su(q)(2) quantum algebra Palladino, B. E. su(q)(2) quantum algebras parameter discretization |
title_short |
Discretizing the deformation parameter in the su(q)(2) quantum algebra |
title_full |
Discretizing the deformation parameter in the su(q)(2) quantum algebra |
title_fullStr |
Discretizing the deformation parameter in the su(q)(2) quantum algebra |
title_full_unstemmed |
Discretizing the deformation parameter in the su(q)(2) quantum algebra |
title_sort |
Discretizing the deformation parameter in the su(q)(2) quantum algebra |
author |
Palladino, B. E. |
author_facet |
Palladino, B. E. Ferreira, P. L. |
author_role |
author |
author2 |
Ferreira, P. L. |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Palladino, B. E. Ferreira, P. L. |
dc.subject.por.fl_str_mv |
su(q)(2) quantum algebras parameter discretization |
topic |
su(q)(2) quantum algebras parameter discretization |
description |
Inspired in recent works of Biedenham [1, 2] on the realization of the q-algebra su(q)(2), We show in this note that the condition [2j + 1](q) = N-q(j) = integer, implies the discretization of the deformation parameter alpha, where q = e(alpha). This discretization replaces the continuum associated to ct by an infinite sequence alpha(1), alpha(2), alpha(3),..., obtained for the values of j, which label the irreps of su(q)(2). The algebraic properties of N-q(j) are discussed in some detail, including its role as a trace, which conducts to the Clebsch-Gordan series for the direct product of irreps. The consequences of this process of discretization are discussed and its possible applications are pointed out. Although not a necessary one, the present prescription is valuable due to its algebraic simplicity especially in the regime of appreciable values of alpha. |
publishDate |
1998 |
dc.date.none.fl_str_mv |
1998-02-01 2014-05-20T14:07:07Z 2014-05-20T14:07:07Z |
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 |
http://rmf.smf.mx/pdf/rmf/44/1/44_1_73.pdf Revista Mexicana de Fisica. Coyoacan: Sociedad Mexicana de Fisica, v. 44, n. 1, p. 73-77, 1998. 0035-001X http://hdl.handle.net/11449/23574 WOS:000072162200011 WOS000072162200011.pdf |
url |
http://rmf.smf.mx/pdf/rmf/44/1/44_1_73.pdf http://hdl.handle.net/11449/23574 |
identifier_str_mv |
Revista Mexicana de Fisica. Coyoacan: Sociedad Mexicana de Fisica, v. 44, n. 1, p. 73-77, 1998. 0035-001X WOS:000072162200011 WOS000072162200011.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Revista Mexicana de Fisica 0.595 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
73-77 application/pdf |
dc.publisher.none.fl_str_mv |
Sociedad Mexicana de Fisica |
publisher.none.fl_str_mv |
Sociedad Mexicana de 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 |
|
_version_ |
1808129367316889600 |