随机矩阵ensemble在量子混沌系统中的各种应用
统计力学
2007-05-23 v2
摘要
将随机矩阵ensemble应用于量子混沌系统。通过对基态函数的有限维实、复和四元数希尔伯特空间来研究量子系统。描述这些希尔伯特空间上作用的线性算子可被视为在基态函数的通用基中的随机矩阵。提出并求解了随机特征问题。给出与物理问题相关的随机算子示例。
引用
@article{arxiv.cond-mat/0212294,
title = {Various applications of the random matrix ensembles to the quantum chaotic systems},
author = {Maciej M. Duras},
journal= {arXiv preprint arXiv:cond-mat/0212294},
year = {2007}
}
备注
5 pages; presented as a poster at "Control, Communication, and Synchronization in Chaotic Dynamical Systems"; Worskshop: October 14th, 2001 - October 19th, 2001; November 11th, 2001 - November 16th, 2001; Seminar: October 14th, 2001 - November 23rd, 2001; Max Planck Institute for the Physics of Complex Systems, Dresden, Germany