  The energy spectrum of the 2D cavity magnetoexciton-polaritons has been
investigated previously, using exact solutions for the Landau quantization of
conduction electrons and heavy holes provided by the Rashba method [1]. Two
lowest Landau quantization levels for electrons and three lowest Landau levels
for heavy-holes, lead to the construction of the six lowest magnetoexciton
sates. They consist of two dipole-active, two quadrupole-active, and the two
forbidden quantum transitions from the ground state of the crystal to the
magnetoexciton states. The interaction of the four optical-active
magnetoexciton states with the cavity mode photons with a given circular
polarization and with well-defined incidence direction leads to the creation of
five magnetoexciton-polariton branches. The fifth order dispersion equation is
examined by using numerical calculations and the second order dispersion
equation is solved analytically, taking into account only one dipole-active
magnetoexciton state. The effective polariton mass on the lower polariton
branch, the Rabi frequency and the corresponding Hopfield coefficients are
determined in dependence on the magnetic field strength, the Rashba spin-orbit
coupling parameters and the electron and hole g-factors.
