On propagation of photons in a magnetized medium

TL;DR

This paper investigates photon propagation in a magnetized medium, deriving dispersion relations and Faraday rotation effects near excitation thresholds, with implications for astrophysical environments like neutron star magnetospheres.

Contribution

It provides new solutions for photon dispersion relations near excitation thresholds in strong magnetic fields, including finite quantum Faraday angles and resonant behaviors.

Findings

Finite quantum Faraday angle in both degenerate and diluted gases.

Resonant behavior observed in Faraday angle near excitation thresholds.

Weak field limit reproduces semi-classical Faraday rotation results.

Abstract

The aim of this work is to solve the dispersion relations near the first excitation threshold of photon propagating along the 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 being both important from the Astrophysical point of view. In particular the diluted gas limit could describe the magnethosphere 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.