Perturbation Expansion for the Anderson Hamiltonian. III

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Abstract
Thermodynamical quantities are expanded in perturbation series with respect to the Coulomb repulsion U for the Anderson Hamiltonian with electron-hole symmetry and their general terms of perturbation are investigated. By these processes the mutual relations among these quantities are discussed. it is confirmed that the thermodynamical quantities such as the specific heat and the scattering t-matrix are expressed in terms of two quantities; the even and odd parts of the susceptibility as far as low-lying excitations are concerned. These results are entirely consistent with the Nozières phenomenological Fermi liquid theory based on the s-d exchange model.

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