Equipartition Principle For Wigner Matrices
FORUM OF MATHEMATICS SIGMA(2021)
摘要
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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关键词
60B20, 82B10
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