On the Duffin-Kemmer-Petiau algebra and the generalized phase space
Autor(a) principal: | |
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Data de Publicação: | 1998 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | por |
Título da fonte: | Repositório Institucional da UnB |
Texto Completo: | http://repositorio.unb.br/handle/10482/6148 http://dx.doi.org/10.1590/S0103-97331998000400024 |
Resumo: | The Duffin-Kemmer-Petiau (DKP) relativistic equation has been recently uded to study the interactions of spinless mesons with nuclei. In view of this interest and also the interest to determine the phase space picture for hadronic quantum theory, we present a derivation of the DKP equation on the generalized phase space proposed by Bohm and Hiley. Our development is based on the algebraic calculus introduced by Sch onberg and uses the idea of algebraic spinors due to Riesz and Cartan. The free DKP particle and the more general case of the DKP particle in a prescribed external electromagnetic field are considered, and we obtain the DKP Liouville type equations for these cases. |
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On the Duffin-Kemmer-Petiau algebra and the generalized phase spaceFísicaÁlgebraPartícula DKPThe Duffin-Kemmer-Petiau (DKP) relativistic equation has been recently uded to study the interactions of spinless mesons with nuclei. In view of this interest and also the interest to determine the phase space picture for hadronic quantum theory, we present a derivation of the DKP equation on the generalized phase space proposed by Bohm and Hiley. Our development is based on the algebraic calculus introduced by Sch onberg and uses the idea of algebraic spinors due to Riesz and Cartan. The free DKP particle and the more general case of the DKP particle in a prescribed external electromagnetic field are considered, and we obtain the DKP Liouville type equations for these cases.2010-12-10T12:15:16Z2010-12-10T12:15:16Z1998-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfFERANDES, Marco Cezar B.; VIANNA, J. David M. On the Duffin-Kemmer-Petiau algebra and the generalized phase space. Brazilian Journal of Physics, São Paulo, v. 28, n. 4, dez. 1998. Disponível em: <http://www.scielo.br/pdf/bjp/v28n4/david.pdf>. Acesso em: 9 dez. 2010. doi: 10.1590/S0103-97331998000400024.http://repositorio.unb.br/handle/10482/6148http://dx.doi.org/10.1590/S0103-97331998000400024Fernandes, Marco Cézar BarbosaVianna, José David Mangueirainfo:eu-repo/semantics/openAccessporreponame:Repositório Institucional da UnBinstname:Universidade de Brasília (UnB)instacron:UNB2023-05-27T00:19:55Zoai:repositorio.unb.br:10482/6148Repositório InstitucionalPUBhttps://repositorio.unb.br/oai/requestrepositorio@unb.bropendoar:2023-05-27T00:19:55Repositório Institucional da UnB - Universidade de Brasília (UnB)false |
dc.title.none.fl_str_mv |
On the Duffin-Kemmer-Petiau algebra and the generalized phase space |
title |
On the Duffin-Kemmer-Petiau algebra and the generalized phase space |
spellingShingle |
On the Duffin-Kemmer-Petiau algebra and the generalized phase space Fernandes, Marco Cézar Barbosa Física Álgebra Partícula DKP |
title_short |
On the Duffin-Kemmer-Petiau algebra and the generalized phase space |
title_full |
On the Duffin-Kemmer-Petiau algebra and the generalized phase space |
title_fullStr |
On the Duffin-Kemmer-Petiau algebra and the generalized phase space |
title_full_unstemmed |
On the Duffin-Kemmer-Petiau algebra and the generalized phase space |
title_sort |
On the Duffin-Kemmer-Petiau algebra and the generalized phase space |
author |
Fernandes, Marco Cézar Barbosa |
author_facet |
Fernandes, Marco Cézar Barbosa Vianna, José David Mangueira |
author_role |
author |
author2 |
Vianna, José David Mangueira |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Fernandes, Marco Cézar Barbosa Vianna, José David Mangueira |
dc.subject.por.fl_str_mv |
Física Álgebra Partícula DKP |
topic |
Física Álgebra Partícula DKP |
description |
The Duffin-Kemmer-Petiau (DKP) relativistic equation has been recently uded to study the interactions of spinless mesons with nuclei. In view of this interest and also the interest to determine the phase space picture for hadronic quantum theory, we present a derivation of the DKP equation on the generalized phase space proposed by Bohm and Hiley. Our development is based on the algebraic calculus introduced by Sch onberg and uses the idea of algebraic spinors due to Riesz and Cartan. The free DKP particle and the more general case of the DKP particle in a prescribed external electromagnetic field are considered, and we obtain the DKP Liouville type equations for these cases. |
publishDate |
1998 |
dc.date.none.fl_str_mv |
1998-12 2010-12-10T12:15:16Z 2010-12-10T12:15:16Z |
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 |
FERANDES, Marco Cezar B.; VIANNA, J. David M. On the Duffin-Kemmer-Petiau algebra and the generalized phase space. Brazilian Journal of Physics, São Paulo, v. 28, n. 4, dez. 1998. Disponível em: <http://www.scielo.br/pdf/bjp/v28n4/david.pdf>. Acesso em: 9 dez. 2010. doi: 10.1590/S0103-97331998000400024. http://repositorio.unb.br/handle/10482/6148 http://dx.doi.org/10.1590/S0103-97331998000400024 |
identifier_str_mv |
FERANDES, Marco Cezar B.; VIANNA, J. David M. On the Duffin-Kemmer-Petiau algebra and the generalized phase space. Brazilian Journal of Physics, São Paulo, v. 28, n. 4, dez. 1998. Disponível em: <http://www.scielo.br/pdf/bjp/v28n4/david.pdf>. Acesso em: 9 dez. 2010. doi: 10.1590/S0103-97331998000400024. |
url |
http://repositorio.unb.br/handle/10482/6148 http://dx.doi.org/10.1590/S0103-97331998000400024 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UnB instname:Universidade de Brasília (UnB) instacron:UNB |
instname_str |
Universidade de Brasília (UnB) |
instacron_str |
UNB |
institution |
UNB |
reponame_str |
Repositório Institucional da UnB |
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Repositório Institucional da UnB |
repository.name.fl_str_mv |
Repositório Institucional da UnB - Universidade de Brasília (UnB) |
repository.mail.fl_str_mv |
repositorio@unb.br |
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1814508297049341952 |