Radiative effects in the field of an electromagnetic wave with allowance for action of a stationary magnetic field

Radiative effects due to the combined action of stationary and varying electromagnetic fields are considered by the analytic continuation technique in the first order with respect to the fine structure constant α=e2/hc. The real parts of the corrections to the electron and photon masses are determined for the case of low wave intensities by means of the experssions for the probabilities of the multiquantum processes of electron scattering and electron-positron pair production by photons in the wave field or magnetic field. In the overlap region the formulas are in agreement with results obtained in investigation of radiative processes in stationary crossed fields and also with the results of an analysis of the mass and polarization operators in the field of an electromagnetic wave. Polarization effects are studied. It is shown that in the given case the anomalous magnetic moment of the electron is a function of all parameters characterizing the total field ω, Esub(o) and H. Corrections to the Schwinger value of the anomalous electron moment are obtained which are proportional to the wave intensity