EN
Gutzwiller variational ground states |Φ^{G}⟩ of π electrons, described by single-band half-filling Hubbard model, were determined for the molecules C_{60} and C_{70} and their energies and magnetic properties investigated. To construct these states two types of trial functions were used: generalized spin-density wave |Φ_{SD}⟩ and tight-binding wave |Φ_{ΤΒ}⟩. Our results evidently show that the Gutzwiller state |Φ^{G}_{TΒ}⟩ determined by means of function |Φ_{ΤΒ}⟩ has lower energy than the other investigated variational states |Φ^{G}_{SD}⟩. Mean values of the operators in the Gutzwiller states were calculated using Monte Carlo method.