The Energy Spectrum and the Optical Absorption Spectrum of С36 Fullerene Within the Hubbard Model

Abstract

Using the Hubbard model in an approximation of static fluctuations, analytical relations of anticommutator Green’s functions and energy spectra of С₃₆ fullerene and La@C₃₆ endohedral fullerene with the D_6h symmetry groups are obtained. Using the group theory methods, a classification of the energy states is performed and the allowed transitions in the energy spectra of the С₃₆ and La@C₃₆ molecules are determined.