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The Anderson problem of the localization of electrons in disordered systems is discussed by analysing the residues of the off diagonal propagator. On the assumption that the eigenvalues are statistically independent, Anderson's upper limit is reproduced, while improved conditions are obtained by assuming specific correlations amongst the levels. The form of the wavefunctions and analytical structure of the selfenergy are also discussed. Several types of disorder are analysed and mobility edges are shown to exist in some cases.
Herbert et al. (1971) studied this question.