Aharonov-Bohm Effect in Synchrotron Radiation

Synchrotron radiation of a charged particle in a constant uniform magnetic field and in the presence of the Aharonov-Bohm solenoid field is studied in the frame of the relativistic quantum theory. First, to this end exact solutions of the Klein-Gordon and Dirac equations are found. Using such solutions, all characteristics of one photon spontaneous irradiation, such as its intensity and angular distribution and polarization were calculated and analyzed. It is shown that usual spectrum of the synchrotron radiation is essentially affected by the presence of the solenoid (the Aharonov-Bohm effect). We believe that this deformation may be observed by spectroscopic methods of measurement. It is shown that 03.65.Bz, 12.20.-m Typeset using REVTEX ∗On leave from Tomsk State University and Tomsk Institute of High Current Electronics, Russia †e-mail: [email protected] ‡School of Physics and Astronomy, University of Nottingham, UK §Tomsk Institute of High Current Electronics, Russia 1