Parametric level statistics in random matrix theory: Exact solution
统计力学
2009-10-31 v1 chao-dyn
无序系统与神经网络
高能物理 - 理论
混沌动力学
摘要
An exact solution to the problem of parametric level statistics in non-Gaussian ensembles of N by N Hermitian random matrices with either soft or strong level confinement is formulated within the framework of the orthogonal polynomial technique. Being applied to random matrices with strong level confinement, the solution obtained leads to emergence of a new connection relation that makes a link between the parametric level statistics and the scalar two-point kernel in the thermodynamic limit.
引用
@article{arxiv.cond-mat/9904043,
title = {Parametric level statistics in random matrix theory: Exact solution},
author = {E. Kanzieper},
journal= {arXiv preprint arXiv:cond-mat/9904043},
year = {2009}
}
备注
4 pages (revtex)