The Schrödinger and Pauli-Dirac Oscillators in Noncommutative Phase Space

Detalhes bibliográficos
Autor(a) principal: Santos, E. S.
Data de Publicação: 2011
Outros Autores: Melo, Genilson Ribeiro de
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
id UFBA-2_6da7102704dc7f4cc241e81b9fc4e174
oai_identifier_str oai:repositorio.ufba.br:ri/5544
network_acronym_str UFBA-2
network_name_str Repositório Institucional da UFBA
repository_id_str 1932
spelling 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
dc.identifier.uri.fl_str_mv 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
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.pt_BR.fl_str_mv DOI: 10.1007/s10773-010-0529-5
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFBA
instname:Universidade Federal da Bahia (UFBA)
instacron:UFBA
instname_str Universidade Federal da Bahia (UFBA)
instacron_str UFBA
institution UFBA
reponame_str Repositório Institucional da UFBA
collection Repositório Institucional da UFBA
bitstream.url.fl_str_mv https://repositorio.ufba.br/bitstream/ri/5544/1/__www.springerlink.com_c...7101821032665r71_fulltext.pdf
https://repositorio.ufba.br/bitstream/ri/5544/2/license.txt
https://repositorio.ufba.br/bitstream/ri/5544/3/__www.springerlink.com_c...7101821032665r71_fulltext.pdf.txt
bitstream.checksum.fl_str_mv 19def4a851df30c8bc57aeac8a19f011
1b89a9a0548218172d7c829f87a0eab9
b1cdb95a1a0d13cf69434cbd4dbb1f59
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFBA - Universidade Federal da Bahia (UFBA)
repository.mail.fl_str_mv
_version_ 1808459396163829760

Registros relacionados