Equipartition principle for Wigner matrices

Published 17 Aug 2020 in math-ph, math.MP, and math.PR | (2008.07061v1)

Abstract: We prove that the energy of any eigenvector of a sum of several independent large Wigner matrices is equally distributed among these matrices with very high precision. This shows a particularly strong microcanonical form of the equipartition principle for quantum systems whose components are modelled by Wigner matrices.

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