摘要
在高维增广相空间中研究广义经典力学系统的精确不变量和绝热不变量 .建立了该空间中系统的对称性与不变量的关系 ;基于力学系统受到小干扰力作用的高阶绝热不变量的概念 ,给出了系统的高阶绝热不变量的形式及存在条件 ,并建立了绝热不变量与对称变换之间的对应关系 ;最后 。
This paper studies the exact invariants and the adiabatic invariants for systems of generalized classical mechanics in the high-dimensional extended phase space and gives the relations between the invariants and the symmetries of the systems in the space. Based on the concept of high-order adiabatic invariant of mechanical systems with the action of small disturbance, it presents the form of the high-order adiabatic invariant and the conditions for their existence, and establishes the relationship between adiabatic invariant and symmetrical transformation. In the end of this paper, an example is given to illustrate the application of the results.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2003年第10期2368-2372,共5页
Acta Physica Sinica
基金
国家自然科学基金 (批准号 :19972 0 10 )
江苏省青蓝工程基金资助的课题~~
关键词
广义经典力学系统
对称性
摄动
绝热不变量
高维增广相空间
symmetry
perturbation
invariant
system of generalized classical mechanics
extended phase space
