Matrix operator symmetries of the Dirac equation and separation of variables

@article{Kalnins1986MatrixOS,
  title={Matrix operator symmetries of the Dirac equation and separation of variables},
  author={Ernie G. Kalnins and Willard Miller and G. C. Williams},
  journal={Journal of Mathematical Physics},
  year={1986},
  volume={27},
  pages={1893-1900}
}
The set of all matrix‐valued first‐order differential operators that commute with the Dirac equation in n‐dimensional complex Euclidean space is computed. In four dimensions it is shown that all matrix‐valued second‐order differential operators that commute with the Dirac operator in four dimensions are obtained as products of first‐order operators that commute with the Dirac operator. Finally some additional coordinate systems for which the Dirac equation in Minkowski space can be solved by… 

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