光滑哈密顿系统中的混沌与指数局域化本征态
chao-dyn
2009-10-30 v1 混沌动力学
摘要
我们提供了数值证据，表明被某些简单周期轨道疤痕化的光滑经典混沌哈密顿系统的波函数在未微扰基态空间中呈指数局域化。局域化程度由信息熵衡量，结果表明其与疤痕轨道周围的局域相空间结构相关；当轨道经历叉式分岔并失去稳定性时，局域化变得尖锐。
引用
@article{arxiv.chao-dyn/9704002,
title = {Chaos and Exponentially Localized Eigenstates in Smooth Hamiltonian Systems},
author = {M. S. Santhanam and V. B. Sheorey and A. Lakshminarayan},
journal= {arXiv preprint arXiv:chao-dyn/9704002},
year = {2009}
}
备注
7pages including 7 figures. Submitted to PRL