Cosmological particle creation as above-barrier reflection - approximation method and applications

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmology, Elementary Particles, Gravitational Fields, Particle Production, Astrophysics, Black Holes (Astronomy), Wentzel-Kramer-Brillouin Method

Scientific paper

The purpose of this paper is three-fold: (1) to draw attention to the analogies between cosmological pair creation, electromagnetic pair creation and above-barrier reflection, (2) to describe a quasi-classical (WKB) approximation method for calculating the probability of pair production, caused by the time dependence of cosmological magnetic fields and (3) to indicate the usefulness of these considerations in applying them to specific examples. One specific example deals with conformally-coupled massive Klein-Gordon particles in a three flat Robertson-Walker universe with a given contraction expansion law. An analogy is made between the Fock-space formulation and the Hilbert-space formulation, emphasizing one-dimensional Schroedinger quantum mechanics.

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