Jeffrey Schenker, Hermann Schulz‐Baldes
Abstract
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For a class of random matrix ensembles with correlated matrix elements, it is shown that the density of states is given by the Wigner semi-circle law.This is applied to effective Hamiltonians related to the Anderson model in dimensions greater than or equal to two.
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For a class of random matrix ensembles with correlated matrix elements, it is shown that the density of states is given by the Wigner semi-circle law.This is applied to effective Hamiltonians related to the Anderson model in dimensions greater than or equal to two.
Key concepts: Mathematics, Random matrix, Sequence (biology), Unit circle, Matrix (chemical analysis), Random variable, Homogeneous space, Symmetry (geometry)