Abstract
The explicit expressions for the imaginary time normal and anomalous two-point Green functions of the strongly correlated itinerant electron (or hole) system with the quantum antiferromagnetic and ferromagnetic couplings and the strong Coulomb repulsion, as well as those of the real time ones at a finite temperature, are derived in the mean field approximation. In the limit of the infinitely strong on-site Coulomb repulsion, the system becomes that with the single occupation constraint.
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