二维相互作用电子系统的量子涨落
统计力学
2007-05-23 v3
摘要
随机矩阵ensemble(RME)的量子统计哈密顿算子,例如高斯随机矩阵ensemble(GRME)和金威尔随机矩阵ensemble(Ginibre RME),被应用于以下量子统计系统:核系统、分子系统和二维电子系统(Wigner-Dyson静电类比)。定义并计算了对量子系统能级能量的量子混沌与量子可积性的度量。定义量子统计信息泛函作为负熵(熵的相反值或负熵)。从最大熵原理推导随机矩阵ensemble的分布函数。
关键词
引用
@article{arxiv.cond-mat/0510409,
title = {Quantum fluctuations of systems of interacting electrons in two spatial dimensions},
author = {Maciej M. Duras},
journal= {arXiv preprint arXiv:cond-mat/0510409},
year = {2007}
}
备注
8 pages; presented at poster session of the conference "International Workshop on Critical Stability of Few-Body Quantum Systems"; October 17, 2005 - October 22, 2005; Max Planck Institute for the Physics of Complex Systems, Dresden, Germany (2005). Additional minor corrections and changes