Universal statistics of wave functions in chaotic and disordered systems
chao-dyn
2007-05-23 v3 凝聚态物理
混沌动力学
摘要
We study a new statistics of wave functions in several chaotic and disordered systems: the random matrix model, band random matrix model, the Lipkin model, chaotic quantum billiard and the 1D tight-binding model. Both numerical and analytical results show that the distribution function of a generalized Riccati variable, defined as the ratio of components of eigenfunctions on basis states coupled by perturbation, is universal, and has the form of Lorentzian distribution.
引用
@article{arxiv.chao-dyn/9807006,
title = {Universal statistics of wave functions in chaotic and disordered systems},
author = {Bambi Hu and Baowen Li and Weng-ge Wang},
journal= {arXiv preprint arXiv:chao-dyn/9807006},
year = {2007}
}
备注
6 Europhys pages, 2 Ps figures, new version to appear in Europhys. Lett