Anticommutator Green's functions and energy spectra of fullerene C26 and endohedral fullerene U@C26 with the D3h symmetry groups have been obtained in an analytical form within the Hubbard model in the approximation of static fluctuations. The energy states have been classified using the methods of group theory, and the allowed transitions in the energy spectra of molecules C26 and U@C26 with the D3h symmetry groups have been determined. Keywords: Hubbard model, Green's functions, energy spectrum, nanosystems, fullerene C26.
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