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General Relativity and Gravitation

, Volume 37, Issue 6, pp 1035–1044 | Cite as

Solution of the Dirac equation in plane wave metric backgrounds

  • Wathek Talebaoui
Research Article

Abstract

We present a new solution of the Dirac equation in the background of a plane wave metric. We examine the relation between sections of the exterior and Clifford bundles of a (pseudo-)Riemannian manifold. A spinor calculus is established and used to investigate a new solution of the Dirac equation lying in a minimal left ideal characterized by a certain idempotent projector.

Keywords

Dirac equation Clifford algebra Spinors 

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Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  1. 1.Department of Computing, Mathematics and ScienceRichmond The American International University in LondonSurreyUK

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