DKP algebra, DKP equation, and differential forms

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Author(s):	Vaz, Jr., Jayme ^[1] ; Mann, Stephen ^[1] Total Authors: 2
Affiliation:	^[1] Univ Waterloo, Cheriton Sch Comp Sci, Waterloo, ON N2L 3G1 - Canada Total Affiliations: 1
Document type:	Journal article
Source:	Journal of Mathematical Physics; v. 59, n. 8 AUG 2018.
Web of Science Citations:	2
Abstract
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)

FAPESP's process:	16/21370-9 - Applications of Clifford Algebras in Computer Graphics
Grantee:	Jayme Morandi Vaz
Support Opportunities:	Scholarships abroad - Research