Schwinger mechanism on de Sitter background. (English) Zbl 1403.81035
Summary: In this paper, incorporating the effect of the deformed commutation relation on de Sitter background, we studied the deformed Schwinger mechanism in \((1+1)\) 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.
MSC:
| 81T10 | Model quantum field theories |
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
| 81S05 | Commutation relations and statistics as related to quantum mechanics (general) |
| 14D15 | Formal methods and deformations in algebraic geometry |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 62J10 | Analysis of variance and covariance (ANOVA) |
Keywords:
Schwinger mechanism; pair creation; Heisenberg uncertainty principle; generalized uncertainty principle; extended uncertainty principleReferences:
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