A Remarkable Representation of the 3 + 2 de Sitter Group

@article{Dirac1963ARR,
  title={A Remarkable Representation of the 3 + 2 de Sitter Group},
  author={Paul Adrien Maurice Dirac},
  journal={Journal of Mathematical Physics},
  year={1963},
  volume={4},
  pages={901-909}
}
  • P. Dirac
  • Published 1 July 1963
  • Mathematics
  • Journal of Mathematical Physics
Among the infinitesimal operators of the 3 + 2 de Sitter group, there are four independent cyclic ones, one of which is separate from the other three. A representation is obtained for which this one has integral eigenvalues while the other three have half‐odd eigenvalues, or vice versa. The representation is of a specially simple kind, with the wavefunctions involving only two variables. 
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