Transition radiation of the neutrino magnetic moment

If the neutrino has a finite mass and a magnetic moment, it would produce transition radiation when crossing the interface between two media of which plasma frequencies are 1 and 2 (1 2). We found that the probability of transition radiation is larger by an order of magnitude using the quantum theory than that recently reported by one of us using classical electrodynamics, and that the energy spectrum of the radiation is uniform up to 1, where is the Lorentz factor of the neutrino (=E/m).