Level correlations in integrable systems
介观与纳米尺度物理
2009-11-07 v1
摘要
We derive a simple analytical expression for the level correlation function of an integrable system. It accounts for both the lack of correlations at smaller energy scales and for global rigidity (level number conservation) at larger scales. We apply our results to a rectangle with incommensurate sides and show that they are in excellent agreement with the limiting cases established in the semiclassical theory of level rigidity.
引用
@article{arxiv.cond-mat/0110250,
title = {Level correlations in integrable systems},
author = {R. A. Serota and J. M. A. S. P. Wickramasinghe},
journal= {arXiv preprint arXiv:cond-mat/0110250},
year = {2009}
}
备注
5 pages