Influence of Quantum Effects on Faraday Rotation in Overdense Plasma

Here, we study the influence of the quantum effects on the Faraday rotation of the electromagnetic waves passed through a magnetized plasma layer. The phenomena of the Faraday rotation consists in the changing of the direction of the wave polarization plane occurred due to the interaction of the magnetic field with the electromagnetic waves. The Faraday rotation also takes place for the waves anomalously transmitted through the magnetized overdense plasma. The anomalous transmission can be described by the mechanism of the surface wave excitations. In the presence of the magnetic field, the dielectric tensor of the magnetized plasma obtains imaginary elements which lead to the rotation of the components of the electric field. However, specifically for the overdense plasma, the quantum effects can be significant and therefore should not be ignored. Here, we are interested in studying the influence of the quantum effects on the Faraday rotation for the overdense plasma. In this regard, we also study the dispersion relation and obtain quantum corrections affecting the conditions for the anomalous transmission of the waves. We show that the results are reduced to the ordinary ones at the classical limit.