应用量子统计力学方法于二维电子系统
统计力学
2007-05-23 v3
摘要
本文将随机矩阵ensemble应用于二维电子系统的量子统计two-dimensional systems。通过有限维的实、复和四元希尔伯特空间对这些量子系统进行研究。描述系统的线性算子作用于这些希尔伯特空间，并在特征函数的通用基中被视为随机矩阵。本文提出并求解了随机特征问题。给出若干随机算子示例并与实际物理问题相关联。
引用
@article{arxiv.cond-mat/0211150,
title = {Applications of methods of quantum statistical mechanics to two-dimensional electron systems},
author = {Maciej M. Duras},
journal= {arXiv preprint arXiv:cond-mat/0211150},
year = {2007}
}
备注
5 pages; presented as a poster at "Electron Interference and Decoherence in Nanostructures"; International Conference: November 4, 2002 - November 8, 2002; Max Planck Institute for the Physics of Complex Systems, Dresden, Germany