Schwinger mechanism on de Sitter background

Author:

Hamil B.1ORCID,Merad M.2

Affiliation:

1. Département de TC de SNV, Université Hassiba Benbouali, Chlef, Algeria

2. Laboratoire (L.S.D.C.), Faculté des Sciences Exactes, Université de Oum El Bouaghi, 04000 Oum El Bouaghi, Algeria

Abstract

In this paper, incorporating the effect of the deformed commutation relation on de Sitter background, we studied the deformed Schwinger mechanism in (1[Formula: see text]+[Formula: see text]1) dimensions for scalars particle of spin-0 in a constant electric field. The Klein–Gordon equation is solved exactly and the wave function is given in term of hypergeometric functions. The canonical method based on a Bogoliubov transformation is applied. The pair creation probability and the density number of created particles are calculated.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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