论文标题

Wigner矩阵的电气原理

Equipartition principle for Wigner matrices

论文作者

Bao, Zhigang, Erdos, Laszlo, Schnelli, Kevin

论文摘要

我们证明了几个独立大型矩阵的总和的任何特征向量的能量 同样分布在这些矩阵中,精度很高。这显示了一种特别强大的微型典型形式 量子系统的平选原理,其组件是由Wigner矩阵建模的。

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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