/ Astrophysics astro-ph/0611780

Kinetic description of fermion production in the oscillator representation

Pervushin, V.N. (Dubna, JINR) ; Skokov, Vladimir V. (Dubna, JINR)

Published in: Acta Phys.Polon.
Year: 2006
Vol.: B37
Page No: 2587-2600
Pages: 14

Abstract: We investigate the fermion creation in quantum kinetic theory by applying oscillator representation'' approach, which was earlier developed for bosonic systems. We show that in some particular cases (Yukawa-like interaction, fixed direction of external vector field) resulting Kinetic Equation (KE) reduces to KE obtained by time-dependent Bogoliubov transformation method. We conclude oscillator representation'' approach to be more universal for the derivation of quantum transport equations in strong space-homogeneous time-dependent fields. We discuss some possible applications of obtained KE to cosmology and particle production in strong laser fields.

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