Some comments on integrals involving the Dirac delta function

Detalhes bibliográficos
Autor(a) principal: Vaz Jr.,Jayme
Data de Publicação: 2022
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Brasileira de Ensino de Física (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172022000100407
Resumo: There are two different but equivalent ways of interpreting the integration of the Dirac delta function within the context of the theory of distributions. We discuss both of them and argue that the least known is the most suitable one for handling problems where integrals involving the Dirac delta function appear in physics and engineering. Examples are given to illustrate this point.
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spelling Some comments on integrals involving the Dirac delta functionDirac delta functiondistributionsvalue of a distribution at a pointThere are two different but equivalent ways of interpreting the integration of the Dirac delta function within the context of the theory of distributions. We discuss both of them and argue that the least known is the most suitable one for handling problems where integrals involving the Dirac delta function appear in physics and engineering. Examples are given to illustrate this point.Sociedade Brasileira de Física2022-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172022000100407Revista Brasileira de Ensino de Física v.44 2022reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/1806-9126-rbef-2021-0378info:eu-repo/semantics/openAccessVaz Jr.,Jaymeeng2021-12-10T00:00:00Zoai:scielo:S1806-11172022000100407Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2021-12-10T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Some comments on integrals involving the Dirac delta function
title Some comments on integrals involving the Dirac delta function
spellingShingle Some comments on integrals involving the Dirac delta function
Vaz Jr.,Jayme
Dirac delta function
distributions
value of a distribution at a point
title_short Some comments on integrals involving the Dirac delta function
title_full Some comments on integrals involving the Dirac delta function
title_fullStr Some comments on integrals involving the Dirac delta function
title_full_unstemmed Some comments on integrals involving the Dirac delta function
title_sort Some comments on integrals involving the Dirac delta function
author Vaz Jr.,Jayme
author_facet Vaz Jr.,Jayme
author_role author
dc.contributor.author.fl_str_mv Vaz Jr.,Jayme
dc.subject.por.fl_str_mv Dirac delta function
distributions
value of a distribution at a point
topic Dirac delta function
distributions
value of a distribution at a point
description There are two different but equivalent ways of interpreting the integration of the Dirac delta function within the context of the theory of distributions. We discuss both of them and argue that the least known is the most suitable one for handling problems where integrals involving the Dirac delta function appear in physics and engineering. Examples are given to illustrate this point.
publishDate 2022
dc.date.none.fl_str_mv 2022-01-01
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=S1806-11172022000100407
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172022000100407
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1806-9126-rbef-2021-0378
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 Revista Brasileira de Ensino de Física v.44 2022
reponame:Revista Brasileira de Ensino de Física (Online)
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Revista Brasileira de Ensino de Física (Online)
collection Revista Brasileira de Ensino de Física (Online)
repository.name.fl_str_mv Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv ||marcio@sbfisica.org.br
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