Aharonov-Bohm effect in cyclotron and synchrotron radiations

We study the impact of Aharonov-Bohm solenoid on the radiation of a charged particle moving in a constant uniform magnetic field. With this aim in vie w, exact solutions of Klein-Gordon and Dirac equations are found in the mag netic-solenoid field. Using such solutions, we calculate exactly all the ch aracteristics of one-photon spontaneous radiation both for spinless and spi nning particle. Considering non-relativistic and relativistic approximation s, we analyze cyclotron and synchrotron radiations in detail. Radiation pec uliarities caused by the presence of the solenoid may be considered as a ma nifestation of Aharonov-Bohm effect in the radiation. In particular. it is shown that new spectral lines appear in the radiation spectrum. Due to angu lar distribution peculiarities of the radiation intensity, these lines can in principle be isolated from basic cyclotron and synchrotron radiation spe ctra. (C) 2001 Elsevier Science B.V. All rights reserved.