Equipartition principle for Wigner matrices

Type: Article

Publication Date: 2021-01-01

Citations: 2

DOI: https://doi.org/10.1017/fms.2021.38

Abstract

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.

Locations

  • Forum of Mathematics Sigma - View - PDF
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

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