Klein–Gordon and Dirac Equations in de Sitter Space–Time
- Cite this article as:
- Cuello, E.A.N. & Oliveira, E.C.D. International Journal of Theoretical Physics (1999) 38: 585. doi:10.1023/A:1026647005325
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.