Magnetooptical Properties of Rydberg Excitons - Center-of-Mass   Quantization Approach
  We show how to compute the magnetooptical functions (absorption, reflection, and transmission) when Rydberg Exciton-Polaritons appear, including the effect of the coherence between the electron-hole pair and the electromagnetic field, and the polaritonic effect. Using the Real Density Matrix Approach the analytical expressions for magnetooptical functions are obtained and numerical calculations for Cu$_2$0 crystal are performed. The influence of the strength of applied external magnetic field on the resonance displacement of excitonic spectra is discussed. We report a good agreement with recently published experimental data. 
Sylwia Zieli\'nska-Raczy\'nska, David Ziemkiewicz, and Gerard   Czajkowski
cond-mat.mes-hall