NOTES ON THE HUBBARD-MODEL AT D=INFINITY

The local density of states is calculated for the Hubbard model in the limit of infinite dimensions. The noninteracting density of states is treated as a parameter and is assumed to be rectangular. The calculat ion is performed using a nonperturbative self-energy solution. At zero temperature the density of states may be determined analytically. It is found that the bandwidth broadens due to many-body correlations whi le the central peak narrows. The possibility of a Mott metal-insulator transition for the Hubbard model is investigated.