In the paper a theoretical study the both the quantized energies of excitonic statesand their wave functions in graphene is presented. An integral two-dimensional Schr¨ odingerequation of the electron-hole pairing for a particles with electron-hole symmetry of reflectionis exactly solved. The solutions of Schr¨odinger equation in momentum space in graphene byprojection the two-dimensional space of momentum on the three-dimensional sphere are foundexactly. We analytically solve an integral two-dimensional Schr¨ odinger equation of the electronhole pairing for particles with electron-hole symmetry of reflection. In single-layer graphene(SLG) the electron-hole pairing leads to the exciton insulator states. Quantized spectral seriesand light absorption rates of the excitonic states which distribute in valence cone are foundexactly. If the electron and hole are separated, their energy is higher than if they are paired.The particle-hole symmetry of Dirac equation of layered materials allows perfect pairing betweenelectron Fermi sphere and hole Fermi sphere in the valence cone and conduction cone and hencedriving the Cooper instability.
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