Equipartition principle for Wigner matrices
Zhigang Bao, László Erdős, Kevin Schnelli
Forum of Mathematics, Sigma · 2021
doi:10.1017/fms.2021.38 (opens in a new tab)
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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.
Abstract licence: CC BY-ND
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