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The review on the quantum electrodynamics (QED) processes proceeding in strong pulsed light fields, realized in modern powerful pulsed lasers is presented. Resonant processes of quantum electrodynamics in strong laser fields are considered. Following QED processes in the pulsed laser field are considered: resonant scattering of ultrarelativistic electrons, resonance of exchange amplitude of a photon by an electron. The resonant peak altitude and width are defined by the external pulsed wave properties. It is demonstrated that the resonant cross sections may be several orders of magnitude greater than the corresponding cross sections in the absence of an external field.
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