The bundles of algebraic and Dirac–Hestenes spinor fields
@article{Mosna2002TheBO, title={The bundles of algebraic and Dirac–Hestenes spinor fields}, author={R. A. Mosna and W. A. Rodrigues}, journal={Journal of Mathematical Physics}, year={2002}, volume={45}, pages={2945-2966} }
Our main objective in this paper is to clarify the ontology of Dirac–Hestenes spinor fields (DHSF) and its relationship with even multivector fields, on a Riemann–Cartan spacetime (RCST) M=(M,g,∇,τg,↑) admitting a spin structure, and to give a mathematically rigorous derivation of the so-called Dirac–Hestenes equation (DHE) in the case where M is a Lorentzian spacetime (the general case when M is a RCST will be discussed in another publication). To this aim we introduce the Clifford bundle of… CONTINUE READING
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