Study on Generic Properties of Dynamical Systems

Xu Gongou; Yang Yatian; XU Mingjie

doi:10.7523/j.issn.2095-6134.2003.2.008

Journal of University of Chinese Academy of Sciences >

2003 , Vol. 20 >Issue 2: 177 - 182

DOI: https://doi.org/10.7523/j.issn.2095-6134.2003.2.008

Study on Generic Properties of Dynamical Systems

Xu Gongou ,
Yang Yatian ,
XU Mingjie

Expand

1. Department of Physics, Nanjing University, Nanjing 210093, China;
2. Department of Physics, Fujian Normal University, Fuzhou 350007, China;
3. Department of Earth Science, Nanjing University, Nanjing 210093, China

Received date: 2002-03-25

Revised date: 2002-05-13

Online published: 2003-03-10

Fold

Abstract

ly outlined statement is then extended to more general classical cases. Quantum mechanics is established by imposing the particular requirements of microsystems to Hamiltonian mechanics. Hence, this statement for classical regular motion is able to be further extended to corresponding quantum cases such that the quantum-classical correspondence is more clearly clarified.

Key words： generic dynamical property; dynamical symmetry group; quantum-classical correspondence

Cite this article

Xu Gongou , Yang Yatian , XU Mingjie . Study on Generic Properties of Dynamical Systems[J]. Journal of University of Chinese Academy of Sciences, 2003 , 20(2) : 177 -182 . DOI: 10.7523/j.issn.2095-6134.2003.2.008

References

[1] A Lichtenberg. M Liebermann. Regular and Chaotic Dynamics. Berlin; Springer, 1992

[2] H Goldstein. Classical Mechanics. Reading, Ma:Addison-Wesley, 1980. 347;399

[3] D K Kleima, W J Holman Ⅲ, L C Biedenharm. In: Ed by E M Lobel. Group Theory and its Applications: Vol. Ⅰ. New York; Academic Press, 1968. l

[4] Xu Gong-Ou, Yang Ya-Tian, Xing Yong-Zhong. Phys Rev, 2000, A 61:1~14

[5] Xu Gong-Ou, Xu Ming-Jie, Xing Yong-Zhong, Yang Ya-Tian. Chin Phys Lett, 2001, 18: 625~627

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article

References