On the method of cancellation of the infrared divergences in quantum electrodynamics

We obtain formulas for the scattering cross section in quantum electrodynamics, which are free from infrared divergencies. The cross section is expressed in terms of the number operators of the registered particles. This obviates the necessity for summation over soft photons in the final state, as it is effectively taken into account in the formula. We analyze the dependence of the inclusive scattering cross sections on small variations of the initial states.