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The formula of Herbert and Jones (1971) relating the distribution of eigenvalues to the range of localization of an eigenstate for the Anderson model in one dimension is discussed. An explicit formula for the localization distance is given for Lloyd's model in one dimension. The formula, which is essentially a dispersion relation is generalized to the case of the Schrodinger equation in one dimension.
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D. J. Thouless (1972) studied this question.
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