Abstract
We calculate the quantum corrections to synchrotron radiation by method developed by Schwinger and Tsai. The traditional calculation method working with the particle wave functions is here replaced by the mass operator approach avoiding the particle final states and the integration over photon angular distribution. The algorithm of the calculation of the quantum corrections to the synchrotron radiation consists in the evaluation of the forward Compton scattering process in the external magnetic field and then in application of the optical theorem to obtain the angular and frequency distribution.
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