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

Perturbation to Lie Symmetry and Adiabatic Invariants for General Holonomic Mechanical Systems
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摘要 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. Based on the concept of adiabatic invariant,the perturbation to the Lie symmetry and adiabatic invariants for general holonomic mechanical systems are studied.The exact invariants induced directly from the Lie symmetry of the system without perturbation are given.The perturbation to the Lie symmetry is discussed and the adiabatic invariants that have the different form from that in[Act.Phys.Sin.55(2006)3236(in Chinese)]of the perturbed system,are obtained.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2007年第7期19-22,共4页 理论物理通讯(英文版)
关键词 Lie symmetry PERTURBATION adiabatic invariant general holonomic mechanical’system Lie symmetry perturbation adiabatic invariant general holonomic mechanical'system
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