Following the Wiegmann approach the exact expression of the ground state energy for the symmetric Anderson Hamiltonian was obtained. In this paper the calculation is done for the asymmetric Anderson Hamiltonian, of the ground state energy, of the average number of localized electrons and of the charge susceptibility.
We generalize an approach, which was recently introduced by Brandt and Giesekus to calculate the exact ground-state energy for strongly interacting particles on special perovskitelike lattices, to the periodic Anderson model in the dimension d=1 and to extended Emery models in d=1,2 on regular lattices for arbitrary spin degeneracy. For these models we calculate the exact ground-state energy for a restricted parameter regime in the strong-coupling limit. The ground-state energy shows a simple algebraic structure. We also present an eigenfunction of the Hamiltonian with the ground-state energy as its corresponding eigenvalue.