2012•Unpublished venueRequires access

Generalized clifford - Dirac algebra and Fermi - Bose duality of the dirac equation

В. М. Симулик, I.Yu. Krivsky, І.Л. Ламер

Abstract

The structure of 29-dimensional extended real Clifford - Dirac algebra, which has been introduced in our paper Phys. Lett. A. 375 (2011) 2479, is under consideration. With the help of this algebra the property of Fermi - Bose duality of the Dirac equation with nonzero mass is proved. It means that Dirac equation can describe not only the fermions but also the bosons. The proof of our assertion on the examples of bosonic symmetries, solutions and conservation laws is given. On this basis the relation of the Dirac equation to the electromagnetic theory is considered.

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Key concepts: Dirac algebra, Clifford analysis, Dirac equation, Dirac sea, Two-body Dirac equations, Clifford algebra, Duality (order theory), Dirac fermion