• Corpus ID: 14889683

The Majorana spinor representation of the Poincare group

  title={The Majorana spinor representation of the Poincare group},
  author={Leonardo Pedro},
  journal={arXiv: Mathematical Physics},
  • L. Pedro
  • Published 1 May 2013
  • Mathematics, Physics
  • arXiv: Mathematical Physics
There are Poincare group representations on complex Hilbert spaces, like the Dirac spinor field, or real Hilbert spaces, like the electromagnetic field tensor. The Majorana spinor is an element of a 4 dimensional real vector space. The Majorana spinor field is a space-time dependent Majorana spinor, solution of the free Dirac equation. The Majorana-Fourier and Majorana-Hankel transforms of Majorana spinor fields are defined and related to the linear and angular momenta of a spin one-half… 
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