Optical selection rules for the quantum transitions from the ground state of the crystal to the superposition states of the two-dimensional magnetoexcitons

The properties of the two-dimensional (2D) magnetoexcitons in the GaAs-type quantum wells subjected to the action of a strong perpendicular magnetic field and of the 2D Wannier-Mott excitons in the transition metal dichalcogenides with the binding energy determined by the direct Coulomb electron-hole (e-h) interaction and with the summary e-h spin projections F = +/- 1 are compared. In both cases the exchange e-h Coulomb interaction leads to the creation of the symmetric and asymmetric superposition states formed by two bare exciton states with F = +/- 1. The superposition states are characterized in different variants by the Dirac cone dispersion laws and with quantum interference effects in the optical quantum transitions from the ground state of the crystal.