On equivalence of Duffin-Kemmer-Petiau and Klein-Gordon equations
Autor(a) principal: | |
---|---|
Data de Publicação: | 2000 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Brazilian Journal of Physics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332000000200008 |
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. |
id |
SBF-2_403417a3d44961223aa6dcaec9727784 |
---|---|
oai_identifier_str |
oai:scielo:S0103-97332000000200008 |
network_acronym_str |
SBF-2 |
network_name_str |
Brazilian Journal of Physics |
repository_id_str |
|
spelling |
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.Sociedade Brasileira de Física2000-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332000000200008Brazilian Journal of Physics v.30 n.2 2000reponame:Brazilian Journal of Physicsinstname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S0103-97332000000200008info:eu-repo/semantics/openAccessFainberg,V. Ya.Pimentel,B. M.eng2002-01-07T00:00:00Zoai:scielo:S0103-97332000000200008Revistahttp://www.sbfisica.org.br/v1/home/index.php/pt/ONGhttps://old.scielo.br/oai/scielo-oai.phpsbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br1678-44480103-9733opendoar:2002-01-07T00:00Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF)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. |
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. |
author_facet |
Fainberg,V. Ya. Pimentel,B. M. |
author_role |
author |
author2 |
Pimentel,B. M. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Fainberg,V. Ya. Pimentel,B. M. |
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 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332000000200008 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0103-97332000000200008 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S0103-97332000000200008 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
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 |
Brazilian Journal of Physics v.30 n.2 2000 reponame:Brazilian Journal of Physics instname:Sociedade Brasileira de Física (SBF) instacron:SBF |
instname_str |
Sociedade Brasileira de Física (SBF) |
instacron_str |
SBF |
institution |
SBF |
reponame_str |
Brazilian Journal of Physics |
collection |
Brazilian Journal of Physics |
repository.name.fl_str_mv |
Brazilian Journal of Physics - Sociedade Brasileira de Física (SBF) |
repository.mail.fl_str_mv |
sbfisica@sbfisica.org.br||sbfisica@sbfisica.org.br |
_version_ |
1754734859082792960 |