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dc.contributor.authorMedeiros, Waleska Priscylla Florencio dept_BR
dc.contributor.authorLima, Rodrigo Ramos dept_BR
dc.contributor.authorAndrade, Vanessa Carvalho dept_BR
dc.contributor.authorMüller, Danielpt_BR
dc.date.accessioned2020-01-24T10:31:46Z-
dc.date.available2020-01-24T10:31:46Z-
dc.date.issued2019pt_BR
dc.identifier.citationMEDEIROS, Waleska Priscylla Florencio de et al. The divergence and curl in arbitrary basis. Revista Brasileira de Ensino de Física, v. 41, n. 2, e20180082, 2019. DOI: https://doi.org/10.1590/1806-9126-rbef-2018-0082. Disponível em: http://scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172019000200413. Acesso em: 23 jan. 2020.pt_BR
dc.identifier.urihttps://repositorio.unb.br/handle/10482/36550-
dc.language.isoenpt_BR
dc.publisherSociedade Brasileira de Físicapt_BR
dc.rightsAcesso Abertopt_BR
dc.titleThe divergence and curl in arbitrary basispt_BR
dc.typeArtigopt_BR
dc.subject.keywordCálculo vetorialpt_BR
dc.subject.keywordGeometria diferencial-
dc.rights.license(CC BY) - Licença Creative Commons-
dc.identifier.doihttps://doi.org/10.1590/1806-9126-rbef-2018-0082pt_BR
dc.description.abstract1In this work, the divergence and curl operators are obtained using the coordinate free non rigid basis formulation of differential geometry. Although the authors have attempted to keep the presentation self-contained as much as possible, some previous exposure to the language of differential geometry may be helpful. In this sense the work is aimed to late undergraduate or beginners graduate students interested in mathematical physics. To illustrate the development, we graphically present the eleven coordinate systems in which the Laplace operator is separable. We detail the development of the basis and the connection for the cylindrical and paraboloidal coordinate systems. We also present in [1] codes both in Maxima and Maple for the spherical orthonormal basis, which serves as a working model for calculations in other situations of interest. Also in [1] the codes to obtain the coordinate surfaces are given.-
dc.identifier.orcidhttp://orcid.org/0000-0003-4650-5947-
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