Equipartition principle for Wigner matrices

Autor: Zhigang Bao, László Erdős, Kevin Schnelli
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Forum of Mathematics, Sigma, Vol 9 (2021)
Druh dokumentu: article
ISSN: 2050-5094
DOI: 10.1017/fms.2021.38
Popis: 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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