Abstract

For pt. I, see abstr. A47799 of 1972. Two conclusions are obtained for the three dimensional Anderson's model. The first is that the ratio Gi1,if/Gi'1if between the values of the Green function at two different sites is equal to the corresponding state ratio ui1beta /ui'1beta provided that the energy parameter E is equal to an energy eigenvalue Ebeta . The second is that the fall-off rate lambda beta of the eigenstate with the energy Ebeta , which was introduced by Thouless (1972) for the one dimensional case, can be defined also in the three dimensional case, and can be identified with the degree of localization defined by an average of the logarithm of the ratio mod Gij/Gi+1,j mod .

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