中国物理B ›› 2008, Vol. 17 ›› Issue (5): 1550-1553.doi: 10.1088/1674-1056/17/5/003

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Perturbation to Mei symmetry and adiabatic invariants for Hamilton systems

方建会1, 丁 宁2   

  1. (1)College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China; (2)Department of Physics and Electronics Science,Binzhou University, Binzhou 256603, China
  • 收稿日期:2007-07-07 修回日期:2007-10-03 出版日期:2008-05-20 发布日期:2008-05-20

Perturbation to Mei symmetry and adiabatic invariants for Hamilton systems

Ding Ning(丁宁)a)† and Fang Jian-Hui(方建会)b)   

  1. a Department of Physics and Electronics Science,Binzhou University, Binzhou 256603, China; b College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China
  • Received:2007-07-07 Revised:2007-10-03 Online:2008-05-20 Published:2008-05-20

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摘要： Based on the concept of adiabatic invariant, this paper studies the perturbation to Mei symmetry and adiabatic invariants for Hamilton systems. The exact invariants of Mei symmetry for the system without perturbation are given. The perturbation to Mei symmetry is discussed and the adiabatic invariants induced from the perturbation to Mei symmetry of the system are obtained.

关键词: Mei symmetry, perturbation, adiabatic invariant, Hamilton system

Abstract: Based on the concept of adiabatic invariant, this paper studies the perturbation to Mei symmetry and adiabatic invariants for Hamilton systems. The exact invariants of Mei symmetry for the system without perturbation are given. The perturbation to Mei symmetry is discussed and the adiabatic invariants induced from the perturbation to Mei symmetry of the system are obtained.

Key words: Mei symmetry, perturbation, adiabatic invariant, Hamilton system

中图分类号:  (Lagrangian and Hamiltonian mechanics)

  • 45.20.Jj
02.30.Jr (Partial differential equations)