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}
}
  • R. A. Mosna, W. A. Rodrigues
  • Published 2002
  • Physics, Mathematics
  • Journal of Mathematical Physics
  • 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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