Dynamical-Symmetry Breaking, Mechanism and Characterization Behaviour

• 来源期刊: 中国物理快报(英文版)
• 学科: 物理学
• 年，卷（期）: 2001,（5）
• 所属期刊栏目: GENERAL
• 页码范围: 625-627
• 页数: 3页
• 分类号: O4
• 语种: 英文

摘要

The integrability of quantum systems is characterized by the algebraic notion of dynamical symmetry, hence the nonintegrability of quantum systems should be discussed topologically in reference to corresponding integrable ones. A topological approach is proposed. The topological map in general is shown to be constituted of the piecewise diffeomorphic maps interrupted by sudden nondiffeomorphic maps and thus has the similar typical feature of stretching-folding-stretching………as the Smale horseshoe map.