The Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase Space
Autor(a) principal: | |
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Data de Publicação: | 2011 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFBA |
Texto Completo: | http://www.repositorio.ufba.br/ri/handle/ri/5544 |
Resumo: | Acesso restrito: Texto completo. p. 332-338 |
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Santos, E. S.Melo, Genilson Ribeiro deSantos, E. S.Melo, Genilson Ribeiro de2012-03-21T17:45:42Z2011-020020-7748http://www.repositorio.ufba.br/ri/handle/ri/5544n. 50, v. 2.Acesso restrito: Texto completo. p. 332-338We investigate the non-relativistic Schrödinger and Pauli-Dirac oscillators in noncommutative phase space using the five-dimensional Galilean covariant framework. The Schrödinger oscillator presented the correct energy spectrum whose non isotropy is caused by the noncommutativity with an expected similarity between this system and the particle in a magnetic field. A general Hamiltonian for the 3-dimensional Galilean covariant Pauli-Dirac oscillator was obtained and it presents the usual terms that appears in commutative space, like Zeeman effect and spin-orbit terms. We find that the Hamiltonian also possesses terms involving the noncommutative parameters that are related to a type of magnetic moment and an electric dipole moment.Submitted by JURANDI DE SOUZA SILVA (jssufba@hotmail.com) on 2012-03-21T17:45:42Z No. of bitstreams: 1 __www.springerlink.com_c...7101821032665r71_fulltext.pdf: 124335 bytes, checksum: 19def4a851df30c8bc57aeac8a19f011 (MD5)Made available in DSpace on 2012-03-21T17:45:42Z (GMT). No. of bitstreams: 1 __www.springerlink.com_c...7101821032665r71_fulltext.pdf: 124335 bytes, checksum: 19def4a851df30c8bc57aeac8a19f011 (MD5) Previous issue date: 2011-02DOI: 10.1007/s10773-010-0529-5reponame:Repositório Institucional da UFBAinstname:Universidade Federal da Bahia (UFBA)instacron:UFBAGalilean covariant formalismPauli-Dirac oscillatorNoncommutative phase spaceThe Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase SpaceInternational Journal of Theoretical Physicsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article10000-01-01enginfo:eu-repo/semantics/openAccessORIGINAL__www.springerlink.com_c...7101821032665r71_fulltext.pdf__www.springerlink.com_c...7101821032665r71_fulltext.pdfapplication/pdf124335https://repositorio.ufba.br/bitstream/ri/5544/1/__www.springerlink.com_c...7101821032665r71_fulltext.pdf19def4a851df30c8bc57aeac8a19f011MD51LICENSElicense.txtlicense.txttext/plain1762https://repositorio.ufba.br/bitstream/ri/5544/2/license.txt1b89a9a0548218172d7c829f87a0eab9MD52TEXT__www.springerlink.com_c...7101821032665r71_fulltext.pdf.txt__www.springerlink.com_c...7101821032665r71_fulltext.pdf.txtExtracted texttext/plain16641https://repositorio.ufba.br/bitstream/ri/5544/3/__www.springerlink.com_c...7101821032665r71_fulltext.pdf.txtb1cdb95a1a0d13cf69434cbd4dbb1f59MD53ri/55442022-07-05 14:03:48.318oai:repositorio.ufba.br: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Repositório InstitucionalPUBhttp://192.188.11.11:8080/oai/requestopendoar:19322022-07-05T17:03:48Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)false |
dc.title.pt_BR.fl_str_mv |
The Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase Space |
dc.title.alternative.pt_BR.fl_str_mv |
International Journal of Theoretical Physics |
title |
The Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase Space |
spellingShingle |
The Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase Space Santos, E. S. Galilean covariant formalism Pauli-Dirac oscillator Noncommutative phase space |
title_short |
The Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase Space |
title_full |
The Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase Space |
title_fullStr |
The Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase Space |
title_full_unstemmed |
The Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase Space |
title_sort |
The Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase Space |
author |
Santos, E. S. |
author_facet |
Santos, E. S. Melo, Genilson Ribeiro de |
author_role |
author |
author2 |
Melo, Genilson Ribeiro de |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Santos, E. S. Melo, Genilson Ribeiro de Santos, E. S. Melo, Genilson Ribeiro de |
dc.subject.por.fl_str_mv |
Galilean covariant formalism Pauli-Dirac oscillator Noncommutative phase space |
topic |
Galilean covariant formalism Pauli-Dirac oscillator Noncommutative phase space |
description |
Acesso restrito: Texto completo. p. 332-338 |
publishDate |
2011 |
dc.date.issued.fl_str_mv |
2011-02 |
dc.date.accessioned.fl_str_mv |
2012-03-21T17:45:42Z |
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 |
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http://www.repositorio.ufba.br/ri/handle/ri/5544 |
dc.identifier.issn.none.fl_str_mv |
0020-7748 |
dc.identifier.number.pt_BR.fl_str_mv |
n. 50, v. 2. |
identifier_str_mv |
0020-7748 n. 50, v. 2. |
url |
http://www.repositorio.ufba.br/ri/handle/ri/5544 |
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eng |
language |
eng |
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info:eu-repo/semantics/openAccess |
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openAccess |
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DOI: 10.1007/s10773-010-0529-5 |
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