International Journal of Theoretical Physics

, Volume 38, Issue 2, pp 585-598

First online:

Klein–Gordon and Dirac Equations in de Sitter Space–Time

  • E. A. Notte Cuello
  • , E. Capelas De Oliveira

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We present and discuss the Klein–Gordonand Dirac wave equations in the de Sitter universe. Toobtain the Dirac wave equation we use the factorizationof the second-order invariant Casimir operatorassociated to the Fantappie–de Sitter group. Boththe Klein–Gordon and Dirac wave equations arediscussed in terms of the spherical harmonics with spinweight. A particular case of Dirac wave equation issolved in terms of a new class of polynomials.