The quantum effects in the undulator of infinite length

The first order quantum correction to the power of spontaneous radiation of electrons in an arbitrary two-component periodic magnetic field was obtained. The phenomenon of selfpolarization of the spin of electrons in a process of spontaneous radiation was also studied. By electron's motion in a spiral magnetic undulator, the quantitative characteristics of selfpolarization (the polarization degree and the relaxation time) are different from corresponding ones in synchrotron radiation. The limiting cases of near-axis and ultrarelativistic approximation were considered