One real function instead of the Dirac spinor function

@article{Akhmeteli2011OneRF,
  title={One real function instead of the Dirac spinor function},
  author={Andrey Akhmeteli},
  journal={Journal of Mathematical Physics},
  year={2011},
  volume={52},
  pages={082303-082303}
}
  • A. Akhmeteli
  • Published 28 August 2010
  • Physics
  • Journal of Mathematical Physics
Three out of four complex components of the Dirac spinor can be algebraically eliminated from the Dirac equation (if some linear combination of electromagnetic fields does not vanish), yielding a partial differential equation of the fourth order for the remaining complex component. This equation is generally equivalent to the Dirac equation. Furthermore, following Schrodinger [Nature (London), 169, 538 (1952)], the remaining component can be made real by a gauge transform, thus extending to the… 
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