The band structure of the dichalcogenides monolayers is described in [1]. This type of monolayers happens to be direct band gap semiconductors with minimal direct band gaps in the corner points K and -K of the hexagonal Brillouin zone as is indicated in [1]. There are two valleys K and -K , where the valence electrons effectuate the direct optical quantum transitions in the conduction bands preserving their spin projections. Due to the symmetry of the Hamiltonian in respect with the time inversion in the structures without center of inversion, the Kramers theorem establishes that the energy of electron with spin up in the valley K equals to the energy of the electron with spin down in the valley -K . The direct optical quantum transitions take place with the participation of the photons with different circular polarizations. The bare Wannier- Mott excitons appearing in K and -K valleys due to the direct Coulomb electron-hole interactions possess the same energies of their binding and creation. Two degenerate valley exciton states can be characterized by the valley pseudospin projections. In the frame of the band structure of the GaAs quantum wells (QWs) in the absence of the external perpendicular magnetic field the conduction electrons have the spin projections 1 2 e z s = ± and the heavy holes have the full angular momentum projections 3 2 h z j = ± [2]. The total angular momentum projection of the electron-hole pair e h z z F = s + j represents a quantum number which characterizes the states of the electron-hole pairs and of the excitons. It possess four possible values as follows F = ±1, ± 2. Two exciton states with F = ±1 can emit photons with different circular polarizations. As in the case of the transition metal dichalcogenides in the case of the GaAs quantum wells there are two bare exciton degenerate states interacting with photons of different circular polarizations. The strong perpendicular magnetic field leads to the Landau quantization of the orbital motions and to constitution of discrete energy levels [3] of electrons and holes separately. Under the influence of the Lorentz force the magnetoexciton looks as an electric dipole with the arm 2 0 d = kl perpendicularly oriented to the in-plane wave vector || k of the two-dimensional magnetoexciton. During the direct Coulomb scattering the particles are moving separately without changing of their origins. In the exchange scattering process the electron-hole pairs are created and annihilated. In the case of the valley excitons in the transition metal dichalcogenides such processes can take place with the electron from one valley and with the hole from another valley, what can lead to the interdependence between the center-of-mass and the relative electron-hole motions even in the absence of an external perpendicular magnetic field. The exchange electron-hole Coulomb interaction in both cases removes the degeneracy of the bare exciton states and leads to the formation of their coherent superposition states with well-defined coefficients of the linear combinations. Such superposition states in the case of two valley exciton states were demonstrated in [1]. One of them has the Dirac cone dispersion law, whereas the another state has a Kirgiz hat-type dispersion law with minimum energy on the circle formed by the in-plane wave vectors. It was shown [2] that the both superposition states are dipole active in the both circular polarizations. But in the case of symmetric state the probability of the quantum transition depends on the direction of the light propagation as regards the semiconductor layer. It has the dependence proportional to 2 2 kz / | k | , where k = a3kz + k|| , and 3 a is the unit vector oriented perpendicularly to the layer surface. It is maximal in the Faraday geometry with light wave vector k perpendicular to the surface of the layer, and vanishes in the Voigt geometry with the light propagation along to layer surface. Such dependence on the light wave vector projection z k does not mean the appearance of the quadrupole quantum transition. It would be characterized by the quadratic dependence on the magnetoexciton in-plane wave vector || k and would be looking as 2 2 || 0 | k | l . In the case of the asymmetric superposition state the probability of the quantum transition does not depend at all on the direction of the light propagation. Up till now the direct electron-hole Coulomb interaction was considered only. It was demonstrated that this type of interaction determines the binding energy and the ionization potential of the two-dimensional magnetoexciton. In this case the new obtained results can open the possibility to research the thermodynamic properties for the two-dimensional ideal magnetoexciton gas which possess Dirac cone-type dispersion law. [1] Y. Hongyi, L. Gui-bin, G. Pu, X. Xiaodong, Y. Wang, Nature Commun. 5, 3876 (2014). [2] S. Moskalenko, I. Podlesny, I. Zubac, B. Novikov, Solid State Commun. 312, 113714 (2020). [3] L.D. Landau and E.M. Lifshitz, Quantum Mechanics Non-Relativistic Theory. Volume 3 of Course of Theoretical Physics. Translated from the Russian by J. B. Sykes and J. S. Bell. Second edition, revised and enlarged. (Oxford, Pergamon Press, 1965).