The Clifford algebra of physical space and Dirac theory

@article{Vaz2016TheCA,
  title={The Clifford algebra of physical space and Dirac theory},
  author={Jayme Vaz},
  journal={European Journal of Physics},
  year={2016},
  volume={37},
  pages={055407}
}
  • J. Vaz
  • Published 11 July 2016
  • Physics
  • European Journal of Physics
The claim found in many textbooks that the Dirac equation cannot be written solely in terms of Pauli matrices is shown to not be completely true. It is only true as long as the term in the usual Dirac factorization of the Klein–Gordon equation is assumed to be the product of a square matrix β and a column matrix ψ. In this paper we show that there is another possibility besides this matrix product, in fact a possibility involving a matrix operation, and show that it leads to another possible… 
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