Geometrical coupling fields of a hypercomplex type

Detalhes bibliográficos
Autor(a) principal: Marão, José Antônio Pires Ferreira
Data de Publicação: 2013
Outros Autores: Borges Neto, Manoel Ferreira [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://www.ijpam.eu/contents/2013-89-2/7/
http://hdl.handle.net/11449/122811
Resumo: This paper presents an application of Laplace's equation obtained from a quaternionic function that satisfies the Cauchy-Riemann conditions determined earlier by Borges and Machado [#!BorgesZeMarcio!#]. Therefore, we show that it is possible to express in a single equation gravity, electric and magnetic potential fields, and this expression can only be provided due to a function that will be called here the coupling function.
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spelling Geometrical coupling fields of a hypercomplex typequaternionsLaplace's equationsgeoemtrical coupling fieldsThis paper presents an application of Laplace's equation obtained from a quaternionic function that satisfies the Cauchy-Riemann conditions determined earlier by Borges and Machado [#!BorgesZeMarcio!#]. Therefore, we show that it is possible to express in a single equation gravity, electric and magnetic potential fields, and this expression can only be provided due to a function that will be called here the coupling function.Universidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Ciência da Computação e Estatística, Instituto de Biociências Letras e Ciências Exatas de São José do Rio Preto, São José do Rio Preto, Rua Cristovão Colombo 2265, Jardim Nazaré, CEP 15054000, SP, BrasilUniversidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Ciência da Computação e Estatística, Instituto de Biociências Letras e Ciências Exatas de São José do Rio Preto, São José do Rio Preto, Rua Cristovão Colombo 2265, Jardim Nazaré, CEP 15054000, SP, BrasilDepartment of Mathematics Federal University of Maranhão - São Luís-MA 65085-580, Maranhão, BRAZILUniversidade Estadual Paulista (Unesp)Marão, José Antônio Pires FerreiraBorges Neto, Manoel Ferreira [UNESP]2015-04-27T11:56:03Z2015-04-27T11:56:03Z2013info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article215-224http://www.ijpam.eu/contents/2013-89-2/7/International Journal of Pure and Applied Mathematics, v. 89, n. 2, p. 215-224, 2013.1311-8080http://hdl.handle.net/11449/12281110.12732/ijpam.v89i2.77955413331293674Currículo Lattesreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Pure and Applied Mathematics0,139info:eu-repo/semantics/openAccess2021-10-23T22:04:25Zoai:repositorio.unesp.br:11449/122811Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T16:37:53.981847Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Geometrical coupling fields of a hypercomplex type
title Geometrical coupling fields of a hypercomplex type
spellingShingle Geometrical coupling fields of a hypercomplex type
Marão, José Antônio Pires Ferreira
quaternions
Laplace's equations
geoemtrical coupling fields
title_short Geometrical coupling fields of a hypercomplex type
title_full Geometrical coupling fields of a hypercomplex type
title_fullStr Geometrical coupling fields of a hypercomplex type
title_full_unstemmed Geometrical coupling fields of a hypercomplex type
title_sort Geometrical coupling fields of a hypercomplex type
author Marão, José Antônio Pires Ferreira
author_facet Marão, José Antônio Pires Ferreira
Borges Neto, Manoel Ferreira [UNESP]
author_role author
author2 Borges Neto, Manoel Ferreira [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Marão, José Antônio Pires Ferreira
Borges Neto, Manoel Ferreira [UNESP]
dc.subject.por.fl_str_mv quaternions
Laplace's equations
geoemtrical coupling fields
topic quaternions
Laplace's equations
geoemtrical coupling fields
description This paper presents an application of Laplace's equation obtained from a quaternionic function that satisfies the Cauchy-Riemann conditions determined earlier by Borges and Machado [#!BorgesZeMarcio!#]. Therefore, we show that it is possible to express in a single equation gravity, electric and magnetic potential fields, and this expression can only be provided due to a function that will be called here the coupling function.
publishDate 2013
dc.date.none.fl_str_mv 2013
2015-04-27T11:56:03Z
2015-04-27T11:56:03Z
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://www.ijpam.eu/contents/2013-89-2/7/
International Journal of Pure and Applied Mathematics, v. 89, n. 2, p. 215-224, 2013.
1311-8080
http://hdl.handle.net/11449/122811
10.12732/ijpam.v89i2.7
7955413331293674
url http://www.ijpam.eu/contents/2013-89-2/7/
http://hdl.handle.net/11449/122811
identifier_str_mv International Journal of Pure and Applied Mathematics, v. 89, n. 2, p. 215-224, 2013.
1311-8080
10.12732/ijpam.v89i2.7
7955413331293674
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Pure and Applied Mathematics
0,139
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 215-224
dc.source.none.fl_str_mv Currículo Lattes
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
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