Localization in Strongly Chaotic Systems
chao-dyn
2009-10-28 v1 混沌动力学
摘要
We show that, in the semiclassical limit and whenever the elements of the Hamiltonian matrix are random enough, the eigenvectors of strongly chaotic time-independent systems in ordered bases can on average be exponentially localized across the energy shell and decay faster than exponentially outside the energy shell. Typically however, matrix elements are strongly correlated leading to deviations from such behavior.
引用
@article{arxiv.chao-dyn/9604005,
title = {Localization in Strongly Chaotic Systems},
author = {Mario Feingold},
journal= {arXiv preprint arXiv:chao-dyn/9604005},
year = {2009}
}
备注
RevTeX, 5 pages + 3 postscript figures, submitted to Phys. Rev. Lett