On Huygens' principle for Dirac operators associated to electromagnetic fields

Detalhes bibliográficos
Autor(a) principal: CHALUB,FABIO A.C.C.
Data de Publicação: 2001
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000400002
Resumo: We study the behavior of massless Dirac particles, i.e., solutions of the Dirac equation with m = 0 in the presence of an electromagnetic field. Our main result (Theorem 1) is that for purely real or imaginary fields any Huygens type (in Hadamard's sense) Dirac operators is equivalent to the free Dirac operator, equivalence given by changes of variables and multiplication (right and left) by nonzero functions.
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spelling On Huygens' principle for Dirac operators associated to electromagnetic fieldsHuygens' principleDirac operatorselectromagnetic fieldsHadamard's problemWe study the behavior of massless Dirac particles, i.e., solutions of the Dirac equation with m = 0 in the presence of an electromagnetic field. Our main result (Theorem 1) is that for purely real or imaginary fields any Huygens type (in Hadamard's sense) Dirac operators is equivalent to the free Dirac operator, equivalence given by changes of variables and multiplication (right and left) by nonzero functions.Academia Brasileira de Ciências2001-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000400002Anais da Academia Brasileira de Ciências v.73 n.4 2001reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652001000400002info:eu-repo/semantics/openAccessCHALUB,FABIO A.C.C.eng2001-12-12T00:00:00Zoai:scielo:S0001-37652001000400002Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2001-12-12T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv On Huygens' principle for Dirac operators associated to electromagnetic fields
title On Huygens' principle for Dirac operators associated to electromagnetic fields
spellingShingle On Huygens' principle for Dirac operators associated to electromagnetic fields
CHALUB,FABIO A.C.C.
Huygens' principle
Dirac operators
electromagnetic fields
Hadamard's problem
title_short On Huygens' principle for Dirac operators associated to electromagnetic fields
title_full On Huygens' principle for Dirac operators associated to electromagnetic fields
title_fullStr On Huygens' principle for Dirac operators associated to electromagnetic fields
title_full_unstemmed On Huygens' principle for Dirac operators associated to electromagnetic fields
title_sort On Huygens' principle for Dirac operators associated to electromagnetic fields
author CHALUB,FABIO A.C.C.
author_facet CHALUB,FABIO A.C.C.
author_role author
dc.contributor.author.fl_str_mv CHALUB,FABIO A.C.C.
dc.subject.por.fl_str_mv Huygens' principle
Dirac operators
electromagnetic fields
Hadamard's problem
topic Huygens' principle
Dirac operators
electromagnetic fields
Hadamard's problem
description We study the behavior of massless Dirac particles, i.e., solutions of the Dirac equation with m = 0 in the presence of an electromagnetic field. Our main result (Theorem 1) is that for purely real or imaginary fields any Huygens type (in Hadamard's sense) Dirac operators is equivalent to the free Dirac operator, equivalence given by changes of variables and multiplication (right and left) by nonzero functions.
publishDate 2001
dc.date.none.fl_str_mv 2001-12-01
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=S0001-37652001000400002
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000400002
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652001000400002
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 Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.73 n.4 2001
reponame:Anais da Academia Brasileira de Ciências (Online)
instname:Academia Brasileira de Ciências (ABC)
instacron:ABC
instname_str Academia Brasileira de Ciências (ABC)
instacron_str ABC
institution ABC
reponame_str Anais da Academia Brasileira de Ciências (Online)
collection Anais da Academia Brasileira de Ciências (Online)
repository.name.fl_str_mv Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)
repository.mail.fl_str_mv ||aabc@abc.org.br
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