The two-body electromagnetic pulsar
  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. 
Miroslav Pardy