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arXiv math-ph/0505003math-phmath.MP
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对称或相关随机矩阵的半圆律和自由度

Semicircle law and freeness for random matrices with symmetries or correlations

Jeffrey H. Schenker, Hermann Schulz-Baldes

摘要:

对于一类矩阵元相关的随机矩阵系综,证明了态密度满足Wigner半圆定律。这适用于与维度大于或等于二的安德森模型相关的有效汉密尔顿。

英文摘要:

For a class of random matrix ensembles with correlated matrix elements, it is shown that the density of states is given by the Wigner semi-circle law. This is applied to effective Hamiltonians related to the Anderson model in dimensions greater than or equal to two.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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