Fonctions de Green dans l'Univers de de Sitter

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1968

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Jules Géhéniau et al., « Fonctions de Green dans l'Univers de de Sitter », Bulletins de l'Académie Royale de Belgique, ID : 10.3406/barb.1968.62238


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We obtain simple expressions for the Green's functions of the Dalembertian, the Klein-Gordon, the Weyl and the Dirac equations in the de Sitter space (4-1). The Dalembertian case is straightforward. For the spin 1/2 massless particle the problem is reduced to the same in the Minkowski space. For the other cases, hypergeometric functions appear in the formulae. The Green's functions of the Dirac equation are given only when the second point is at the origin of the coordinate system.

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