On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equations
Autor(a) principal: | |
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Data de Publicação: | 2000 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1590/S0103-97332000000200008 http://hdl.handle.net/11449/23998 |
Resumo: | A strict proof of equivalence between Duffin-Kemmer-Petiau (DKP) and Klein-Gordon (KG) theories is presented for physical S-matrix elements in the case of charged scalar particles interacting in minimal way with an external or quantized electromagnetic field. First, Hamiltonian canonical approach to DKP theory is developed in matrix form. The theory is then quantized through the construction of the generating functional for Green functions (GF) and the physical matrix elements of S-matrix are proved to be relativistic invariants. The equivalence between both theories is then proved using the connection between GF and the elements of S-matrix in reduction formulas of Lehmann, Symanzik, Zimmermann. |
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On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equationsA strict proof of equivalence between Duffin-Kemmer-Petiau (DKP) and Klein-Gordon (KG) theories is presented for physical S-matrix elements in the case of charged scalar particles interacting in minimal way with an external or quantized electromagnetic field. First, Hamiltonian canonical approach to DKP theory is developed in matrix form. The theory is then quantized through the construction of the generating functional for Green functions (GF) and the physical matrix elements of S-matrix are proved to be relativistic invariants. The equivalence between both theories is then proved using the connection between GF and the elements of S-matrix in reduction formulas of Lehmann, Symanzik, Zimmermann.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Universidade Estadual Paulista Instituto de Física TeóricaUniversidade Estadual Paulista Instituto de Física TeóricaSociedade Brasileira de FísicaUniversidade Estadual Paulista (Unesp)Fainberg, V. Ya. [UNESP]Pimentel, B. M. [UNESP]2014-05-20T14:08:27Z2014-05-20T14:08:27Z2000-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article275-281application/pdfhttp://dx.doi.org/10.1590/S0103-97332000000200008Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 30, n. 2, p. 275-281, 2000.0103-9733http://hdl.handle.net/11449/2399810.1590/S0103-97332000000200008S0103-97332000000200008S0103-97332000000200008.pdfSciELOreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengBrazilian Journal of Physics1.0820,276info:eu-repo/semantics/openAccess2023-11-24T06:14:58Zoai:repositorio.unesp.br:11449/23998Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T18:35:46.257210Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equations |
title |
On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equations |
spellingShingle |
On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equations Fainberg, V. Ya. [UNESP] |
title_short |
On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equations |
title_full |
On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equations |
title_fullStr |
On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equations |
title_full_unstemmed |
On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equations |
title_sort |
On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equations |
author |
Fainberg, V. Ya. [UNESP] |
author_facet |
Fainberg, V. Ya. [UNESP] Pimentel, B. M. [UNESP] |
author_role |
author |
author2 |
Pimentel, B. M. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Fainberg, V. Ya. [UNESP] Pimentel, B. M. [UNESP] |
description |
A strict proof of equivalence between Duffin-Kemmer-Petiau (DKP) and Klein-Gordon (KG) theories is presented for physical S-matrix elements in the case of charged scalar particles interacting in minimal way with an external or quantized electromagnetic field. First, Hamiltonian canonical approach to DKP theory is developed in matrix form. The theory is then quantized through the construction of the generating functional for Green functions (GF) and the physical matrix elements of S-matrix are proved to be relativistic invariants. The equivalence between both theories is then proved using the connection between GF and the elements of S-matrix in reduction formulas of Lehmann, Symanzik, Zimmermann. |
publishDate |
2000 |
dc.date.none.fl_str_mv |
2000-06-01 2014-05-20T14:08:27Z 2014-05-20T14:08:27Z |
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://dx.doi.org/10.1590/S0103-97332000000200008 Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 30, n. 2, p. 275-281, 2000. 0103-9733 http://hdl.handle.net/11449/23998 10.1590/S0103-97332000000200008 S0103-97332000000200008 S0103-97332000000200008.pdf |
url |
http://dx.doi.org/10.1590/S0103-97332000000200008 http://hdl.handle.net/11449/23998 |
identifier_str_mv |
Brazilian Journal of Physics. Sociedade Brasileira de Física, v. 30, n. 2, p. 275-281, 2000. 0103-9733 10.1590/S0103-97332000000200008 S0103-97332000000200008 S0103-97332000000200008.pdf |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Brazilian Journal of Physics 1.082 0,276 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
275-281 application/pdf |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
publisher.none.fl_str_mv |
Sociedade Brasileira de Física |
dc.source.none.fl_str_mv |
SciELO 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_ |
1808128954170605568 |