Perturbation to Lie Symmetry and Adiabatic Invariants for General Holonomic Mechanical Systems

Perturbation to Lie Symmetry and Adiabatic Invariants for General Holonomic Mechanical Systems

<正> Based on the concept of adiabatic invariant,the perturbation to the Lie symmetry and adiabatic invariantsfor general holonomic mechanical systems are studied.The exact invariants induced directly from the Lie symmetryof the system without perturbation are given.The perturbation to...

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Veröffentlicht in:Communications in theoretical physics 2007-07, Vol.48 (7), p.19-22
1. Verfasser: DING Ning FANG Jian-Hui WANG Peng ZHANG Xiao-Ni College of Physics Science and Technology,China University of Petroleum,Dongying 257061,China
Format: Artikel
Sprache:eng
Schlagworte:
adiabatic
holonomic
invariant
Lie
mechanical’system
perturbation
symmetry
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Zusammenfassung:<正> Based on the concept of adiabatic invariant,the perturbation to the Lie symmetry and adiabatic invariantsfor general holonomic mechanical systems are studied.The exact invariants induced directly from the Lie symmetryof the system without perturbation are given.The perturbation to the Lie symmetry is discussed and the adiabaticinvariants that have the different form from that in[Act.Phys.Sin.55(2006)3236(in Chinese)]of the perturbedsystem,are obtained.
ISSN:0253-6102
DOI:10.1088/0253-6102/48/1/005