Quantum theory of synchrotron radiation in ( 2+1 )-dimensional electrodynamics

Abstract

In this paper we develop a quantum theory of synchrotron radiation of massive and massless fermions in ($2+1$)-dimensional electrodynamics with a doubled fermionic representation based on an exact formula for the radiation shift of electron energy in a constant magnetic field. Analytical formulas describing the dependences of the spectral distribution and the total radiation power of a massive fermion on the dynamic parameter of synchrotron radiation and the spin quantum number of the initial electron are obtained. The power of synchrotron radiation of a massless charged fermion is calculated in the case of large values of the main quantum number and a relatively weak magnetic field. It was shown that the radiation power of a massless fermion is described by a formula that coincides with the main term of the asymptotic expansion of the radiation power of a massive electron in the ultraquantum case.