Equipartition principle for Wigner matrices
arXiv:2008.07061 · doi:10.1017/fms.2021.38
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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