The Energy Spectrum and Optical Properties of Fullerene С36 within the Hubbard Model

The anticommutator Green’s functions and the energy spectra of fullerene С 36 and endohedral fullerene La@C 36 , with both of them belonging to the D 6 h symmetry group, are obtained analytically within the Hubbard model in the mean-field approximation. Using group-theory methods, their energy states are classified and allowed transitions in the energy spectra of the С 36 and La@C 36 molecules, both belonging to the D 6 h symmetry group, are determined.