摘要
可积系统是理论物理学最活跃的研究领域之一,在几十年的过程中发展了一系列成熟的理论方法,极大地推动了物理学的发展。量子群与量子对称性是可积系统研究的最新发展,在广泛的物理问题中有重要的应用。实际上,量子对称性已经超越可积系统的原来框架,也已成为解决不可积问题的重要手段。我们试图评述量子群的引入背景、量子群理论,特别是量子对称性研究的最新结果。
The subject of integrable models, both classical and quantum, is fascinating. Decades of research in this area have led to mathematical developments which are quite beautiful and which unify various aspects of physical problems that appear to be disparate. One of them, quantum group, is now a popular topic in different fields of modern physics due to its structure richer than that of Lie group. The background of introducing the quantum group, quantum group theory and, in particular, quantum symmetry in integrable and non-integrable systems is reviewed.
出处
《中国科学基金》
CSCD
1997年第4期273-279,共7页
Bulletin of National Natural Science Foundation of China
关键词
量子对称性
量子群
可积系统
Y-B方程
quantum group, quantum symmetry, Yang-Baxter equation, integrable system
