Alternative expression for the electromagnetic lagrangian

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dc.creatorPablo Lima Saldanha
dc.date.accessioned2021-07-25T20:28:02Z
dc.date.accessioned2025-09-08T23:45:28Z
dc.date.available2021-07-25T20:28:02Z
dc.date.issued2016
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.description.sponsorshipCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
dc.identifier.doihttps://doi.org/10.1007/s13538-016-0417-4
dc.identifier.issn1678-4448
dc.identifier.urihttps://hdl.handle.net/1843/36947
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofBrazilian Journal of Physics
dc.rightsAcesso Restrito
dc.subjectCampo eletromagnético
dc.subjectEletromagnetismo
dc.subject.otherCampo eletromagnético
dc.subject.otherEletromagnetismo
dc.subject.otherLagrangian dynamics
dc.subject.otherAharonov-Bohm effect
dc.titleAlternative expression for the electromagnetic lagrangian
dc.typeArtigo de periódico
local.citation.epage320
local.citation.issue3
local.citation.spage316
local.citation.volume46
local.description.resumoWe reintroduce an alternative expression for the Lagrangian density that governs the interaction of a charged particle with external electromagnetic fields, proposed by Livens about one century ago. This Lagrangian is written in terms of the local superposition of the particle fields with the applied electromagnetic fields, not in terms of the particle charge and of the electromagnetic potentials as is usual. Here, we show that the total Lagrangian for a set of charged particles assumes a simple elegant form with the alternative formulation, giving an aesthetic support for it. We also show that the alternative Lagrangian is equivalent to the traditional one in their domain of validity and that it provides an interesting description of the Aharonov-Bohm effect.
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.initialsUFMG
local.url.externahttps://link.springer.com/article/10.1007/s13538-016-0417-4

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