A new mechanism of electromagnetic electron radiation in a medium (spin light)

Abstract

Based on the method of exact solutions to the quantum equations for the wave functions of particles in external fields and media within the framework of the standard interaction model, the modified Dirac equation for the electron is derived that allows its interaction with the medium to be considered. An exact solution to the equation and energy spectrum of the electron states are determined. In the context of this approach, a new type of electromagnetic radiation -spin light of electron in a neutron medium -is predicted and studied. General expressions for the probability of the process in unit time and for the radiation intensity are derived, and a dependence of the radiation intensity on the electron energy and density of the medium is analyzed. The limiting cases of the process and polarization properties of radiation are investigated.

Method of wave equations exact solutions in studies of neutrinos and electrons interaction in dense matter

“…Although the neutrino energy spectra corespondent to the modified Dirac and Dirac-Pauli equations, (7) and (34), are not the same, an equal result given by (39) for the energy difference ∆E = E(s = −1) − E(s = +1) of the two neutrino helicity states can be obtained from both of the spectra in the low matter density or high energy limit α pm…”

“…This can be considered for modelling of neutrino propagation inside a rotating neutron star. The corresponding modified Dirac equation for the neutrino wave function is given by (7) with the matter potential accounting for rotation,…”

“…For the stationary states of equation (7) we get [1] (r, t) = e −i(E ε t−pr) u(p, E ε ), (9) where u(p, E ε ) is independent on the coordinates and time. Upon the condition that equation ( 7) has a non-trivial solution, we arrive to the energy spectrum of a neutrino moving in the background matter…”

“…The aim of this paper is to present a rather powerful method in investigations of different phenomena that can appear when neutrinos are moving in the background matter [1,2]. In addition, we also demonstrate how this method can be applied to electrons moving in background matter [3][4][5][6][7]. The developed new approach [4] establishes a basis for investigation of different phenomena which can arise when neutrinos and electrons move in dense media, including those peculiar for astrophysical and cosmological environments.…”

On the problem of relativistic particles motion in a strong magnetic field and dense matter

“…Most pronouncedly, this possibility was pointed out in [5,6] where the exact solution for the modified Dirac equation for a neutrino moving in matter was derived and discussed in detail. The corresponding exact solution for an electron moving in matter was obtained in [7], the problem of neutrino propagation in transversaly moving matter was first solved in [8], and in our recent paper [9] we considered neutrino propagation in a rotating matter accounting for the effect of non-zero neutrino mass.…”