Universal Parametric Correlations at the Soft Edge of the Spectrum of Random Matrix Ensembles
Universal Parametric Correlations at the Soft Edge of the Spectrum of Random Matrix Ensembles
复制标题
随机矩阵系综谱软边缘处的通用参数相关性
DOI：
10.1209/0295-5075/26/9/001
复制
发表时间：
1994
期刊：
影响因子：
1.8
通讯作者：
A. Macêdo
中科院分区：
文献类型：
--
作者：
A. Macêdo
我们扩展了最近的随机矩阵谱中的参数相关理论，研究了软边附近的支持的特征值的外部扰动的响应。通过显式非微扰计算，我们证明了对于具有么正对称性的系统，经过适当的重新标度后，能级密度涨落的两点函数成为一个普适的表达式。
We extend a recent theory of parametric correlations in the spectrum of random matrices to study the response to an external perturbation of eigenvalues near the soft edge of the support. We demonstrate by explicit non-perturbative calculation that, for systems with unitary symmetry, the two-point function for level density fluctuations becomes, after appropriate rescaling, a universal expression.