  The power spectrum formula of the synchrotron radiation generated by the
electron and positron moving at the opposite angular velocities in homogenous
magnetic field is derived in the Schwinger version of quantum field theory. The
asymptotical form of this formula is found. It is surprising that the spectrum
depends periodically on radiation frequency omega which means that the system
composed from electron, positron and magnetic field forms the two-body
electromagnetic pulsar.
