Abstract
Summary We had investigated some features in behaviour of the particle number and energy densities of the fermion and boson particle-antiparticle gases created from vacuum under action of a strong periodical elec-tric fi eld. We had limited by the multiphoton domain γ >> 1 only ( γ is the adiabaticity parameter). Figs. 1 and 2 demonstrate the well known fermion domina-tion in the theory of vacuum particle creation [6] .Position of the resonance points of the curves (Fig.1) is rather unexpected: in shifts con-siderably sideways long waves relatively of the point λ = πλ c which corresponds to the one photon creation mechanism.A consequence of the conducted analysis is understanding of the fact that the distribution func-tions (5)–(7) (obtained as a result of the perturbation theory) have not «good» asymptotics at p → ∞ that leads to the divergence of the energy density and the all highest moment.The entropy calculated on the basis of Eqs. (6) and (7) has a complicated oscillator character.
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