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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

DKP algebra, DKP equation, and differential forms

Texto completo
Autor(es):
Vaz, Jr., Jayme [1] ; Mann, Stephen [1]
Número total de Autores: 2
Afiliação do(s) autor(es):
[1] Univ Waterloo, Cheriton Sch Comp Sci, Waterloo, ON N2L 3G1 - Canada
Número total de Afiliações: 1
Tipo de documento: Artigo Científico
Fonte: Journal of Mathematical Physics; v. 59, n. 8 AUG 2018.
Citações Web of Science: 2
Resumo

It is well known that the Clifford algebras and the Dirac equation have a representation in terms of differential forms known as the Kahler-Atiyah algebra and the Dirac-Kahler equation, respectively. In this paper, we have introduced a new product of differential p-forms and obtained a representation in terms of differential forms for the DKP algebra and for the DKP equation. We have studied the properties of this new product in some detail and obtained, among other results, the action of the rotation group in this formalism. We have also obtained a conversed current and a Lagrangian for our differential forms version of the DKP equation. Published by AIP Publishing. (AU)

Processo FAPESP: 16/21370-9 - Aplicações das Álgebras de Clifford na Computação Gráfica
Beneficiário:Jayme Morandi Vaz
Modalidade de apoio: Bolsas no Exterior - Pesquisa