Dynamical-Symmetry Breaking, Mechanism and Characterization
Behaviour
XU Gong-Ou1,3, XU Ming-Jie2, XING Yong-Zhong3,6, YANG Ya-Tian4,5
1Department of Physics, Nanjing University, Nanjing 210093
2Department of Geoscience, Nanjing University, Nanjing 210093
3Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000
4Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
5Department of Physics, Fujian Normal University, Fuzhou 350007
6Department of Physics, Tianshui Normal College, Tianshui 741000
Dynamical-Symmetry Breaking, Mechanism and Characterization
Behaviour
1Department of Physics, Nanjing University, Nanjing 210093
2Department of Geoscience, Nanjing University, Nanjing 210093
3Center of Theoretical Nuclear Physics, National Laboratory of Heavy-Ion Accelerator, Lanzhou 730000
4Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100080
5Department of Physics, Fujian Normal University, Fuzhou 350007
6Department of Physics, Tianshui Normal College, Tianshui 741000
Abstract： The integrability of quantum systems is charactized 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 horse-shoe map.
2001, Vol. 18 
