On propagation of photons in a magnetized medium

The aim of this work is to solve the dispersion relations near the first excitation threshold of a photon propagating along a magnetic field in the strong field limit. We have calculated the time damping of the photon in two particular cases: the degenerate gas as well as the diluted gas limit, both being important from the astro-physical point of view. In particular, the diluted gas limit could describe the magnetosphere of neutron stars. The solutions have been used to obtain a finite quantum Faraday angle in both limits. A resonant behavior for the Faraday angle is also obtained. To reproduce the semi-classical result for the Faraday rotation angle, the weak field limit is considered. ((c) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)