Title screen

[References: p. 90-91 (30 tit.)]

The processes of the nonlinear Compton and the nonlinear Thomson scattering in a field of intense planeelectromagnetic wave in terms of photon yield have been considered. The quantum consideration of theCompton scattering process allows us to calculate the probability of a few successive collisions k of an electronwith laser photons accompanied by the absorption of n photons (nonlinear regime) when the number ofcollisions and the number of absorbed photons are of random quantities. The photon spectrum of the nonlinearThomson scattering process was obtained from the classical formula for intensity using the Planck's law. Theconditions for which the difference between the classical and the quantum regimes is manifested was obtained.Such a condition is determined by a discrete quantum radiation mechanism, namely, by the mean number ofphotons k emitted by an electron passing through the laser pulse.