Superconformal quantum mechanics via Wigner Heisenberg algebra

Detalhes bibliográficos
Autor(a) principal: Salazar, Hector Leny Carrion
Data de Publicação: 2010
Outros Autores: Rodrigues, R. de Lima
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/handle/123456789/30879
Resumo: We show the natural relation between the Wigner Hamiltonian and the conformal Hamiltonian. A model in (super)conformal quantum mechanics with (super)conformal symmetry in the Wigner–Heisenberg algebra picture [x, px] = i(1 + cP) (P being the parity operator) is presented. In this context, the energy spectrum, the Casimir operator, raising and lowering operators are defined
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spelling Salazar, Hector Leny CarrionRodrigues, R. de Lima2020-12-07T20:47:38Z2020-12-07T20:47:38Z2010-03-27CARRION, H. L.; RODRIGUES, R. de Lima. SSuperconformal quantum mechanics via Wigner Heisenberg algebra. Modern Physics Letters A, [S.L.], v. 25, n. 29, p. 2507-2521, 21 set. 2010. Disponível em: https://arxiv.org/abs/hep-th/0402034 Acesso em: 24 nov. 2020. http://dx.doi.org/10.1142/s0217732310033475.0217-73231793-6632https://repositorio.ufrn.br/handle/123456789/3087910.1142/S0217732310033475World Scientific PublishingAttribution-NonCommercial-NoDerivs 3.0 Brazilhttp://creativecommons.org/licenses/by-nc-nd/3.0/br/info:eu-repo/semantics/openAccessSuperconformalConformal HamiltonianWigner–Heisenberg algebraSuperconformal quantum mechanics via Wigner Heisenberg algebrainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe show the natural relation between the Wigner Hamiltonian and the conformal Hamiltonian. A model in (super)conformal quantum mechanics with (super)conformal symmetry in the Wigner–Heisenberg algebra picture [x, px] = i(1 + cP) (P being the parity operator) is presented. In this context, the energy spectrum, the Casimir operator, raising and lowering operators are definedengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNORIGINALSuperconformalQuantumMechanics_SALAZAR_2010.pdfSuperconformalQuantumMechanics_SALAZAR_2010.pdfArtigoapplication/pdf222967https://repositorio.ufrn.br/bitstream/123456789/30879/1/SuperconformalQuantumMechanics_SALAZAR_2010.pdff00bad8e3573c3e3d3b41b00faf5e65eMD51CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8811https://repositorio.ufrn.br/bitstream/123456789/30879/2/license_rdfe39d27027a6cc9cb039ad269a5db8e34MD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/30879/3/license.txte9597aa2854d128fd968be5edc8a28d9MD53TEXTSuperconformalQuantumMechanics_SALAZAR_2010.pdf.txtSuperconformalQuantumMechanics_SALAZAR_2010.pdf.txtExtracted texttext/plain30880https://repositorio.ufrn.br/bitstream/123456789/30879/4/SuperconformalQuantumMechanics_SALAZAR_2010.pdf.txt3079c7557118b9bd57d4ec0fe360a3b8MD54THUMBNAILSuperconformalQuantumMechanics_SALAZAR_2010.pdf.jpgSuperconformalQuantumMechanics_SALAZAR_2010.pdf.jpgGenerated Thumbnailimage/jpeg1450https://repositorio.ufrn.br/bitstream/123456789/30879/5/SuperconformalQuantumMechanics_SALAZAR_2010.pdf.jpgf633672c5f0222825b73009b92659452MD55123456789/308792020-12-13 05:01:46.563oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-12-13T08:01:46Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv Superconformal quantum mechanics via Wigner Heisenberg algebra
title Superconformal quantum mechanics via Wigner Heisenberg algebra
spellingShingle Superconformal quantum mechanics via Wigner Heisenberg algebra
Salazar, Hector Leny Carrion
Superconformal
Conformal Hamiltonian
Wigner–Heisenberg algebra
title_short Superconformal quantum mechanics via Wigner Heisenberg algebra
title_full Superconformal quantum mechanics via Wigner Heisenberg algebra
title_fullStr Superconformal quantum mechanics via Wigner Heisenberg algebra
title_full_unstemmed Superconformal quantum mechanics via Wigner Heisenberg algebra
title_sort Superconformal quantum mechanics via Wigner Heisenberg algebra
author Salazar, Hector Leny Carrion
author_facet Salazar, Hector Leny Carrion
Rodrigues, R. de Lima
author_role author
author2 Rodrigues, R. de Lima
author2_role author
dc.contributor.author.fl_str_mv Salazar, Hector Leny Carrion
Rodrigues, R. de Lima
dc.subject.por.fl_str_mv Superconformal
Conformal Hamiltonian
Wigner–Heisenberg algebra
topic Superconformal
Conformal Hamiltonian
Wigner–Heisenberg algebra
description We show the natural relation between the Wigner Hamiltonian and the conformal Hamiltonian. A model in (super)conformal quantum mechanics with (super)conformal symmetry in the Wigner–Heisenberg algebra picture [x, px] = i(1 + cP) (P being the parity operator) is presented. In this context, the energy spectrum, the Casimir operator, raising and lowering operators are defined
publishDate 2010
dc.date.issued.fl_str_mv 2010-03-27
dc.date.accessioned.fl_str_mv 2020-12-07T20:47:38Z
dc.date.available.fl_str_mv 2020-12-07T20:47:38Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.citation.fl_str_mv CARRION, H. L.; RODRIGUES, R. de Lima. SSuperconformal quantum mechanics via Wigner Heisenberg algebra. Modern Physics Letters A, [S.L.], v. 25, n. 29, p. 2507-2521, 21 set. 2010. Disponível em: https://arxiv.org/abs/hep-th/0402034 Acesso em: 24 nov. 2020. http://dx.doi.org/10.1142/s0217732310033475.
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/handle/123456789/30879
dc.identifier.issn.none.fl_str_mv 0217-7323
1793-6632
dc.identifier.doi.none.fl_str_mv 10.1142/S0217732310033475
identifier_str_mv CARRION, H. L.; RODRIGUES, R. de Lima. SSuperconformal quantum mechanics via Wigner Heisenberg algebra. Modern Physics Letters A, [S.L.], v. 25, n. 29, p. 2507-2521, 21 set. 2010. Disponível em: https://arxiv.org/abs/hep-th/0402034 Acesso em: 24 nov. 2020. http://dx.doi.org/10.1142/s0217732310033475.
0217-7323
1793-6632
10.1142/S0217732310033475
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rights_invalid_str_mv Attribution-NonCommercial-NoDerivs 3.0 Brazil
http://creativecommons.org/licenses/by-nc-nd/3.0/br/
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dc.publisher.none.fl_str_mv World Scientific Publishing
publisher.none.fl_str_mv World Scientific Publishing
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