The current density of the relativistic compton electrons produced by the nonstationary gamma-ray source in the air under external electromagnetic field

The formulae for the current density of relativistic Compton electrons produced by the nonstationary gamma-flux in the air under external electromagnetic field are obtained. The formulae in question are obtained by solving the kinetic equation for the distribution function of the Compton electrons. The influence of the transversal (with reference to the direction of gamma-flux) components of the electromagnetic field is taken into account to the first order in perturbation theory. It was shown that some known approaches are the special cases of the model described in this paper.