Solution of the Dirac equation in plane wave metric backgrounds

Details Solution of the Dirac equation in plane wave metric backgrounds Solution of the Dirac equation in plane wave metric backgrounds

Jun 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005gregr..37.1035t&link_type=abstract

General Relativity and Gravitation, Volume 37, Issue 6, pp.1035-1044

Physics

Dirac Equation, Clifford Algebra, Spinors

Scientific paper

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.

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