Noether Symmetry Can Lead to Non-Noether Conserved Quantity of Holonomic Nonconservative Systems in General Lie Transfor

For the holonomic nonconservative system, by using the Noether symmetry, a non-Noether conserved quantity is obtained directly under general infinitesimal transformations of groups in which time is variable. At first,the Noether symmetry, Lie symmetry, and Noether conserved quantity are given. Secondly, the condition under which the Noether symmetry is a Lie symmetry under general infinitesimal transformations is obtained. Finally, a set of nonNoether conserved quantities of the system are given by the Noether symmetry, and an example is given to illustrate the application of the results.

作 者： LUO Shao-Kai JIA Li-qun CAI Jian-Le   作者單位： LUO Shao-Kai(Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China;Institute of Mathematical Mechanics and Mathematical Physics, Changsha University, Changsha 410003, China;Science College of Southern, Yangt)

JIA Li-qun(Science College of Southern, Yangtze University, Wuxi 214063, China)

CAI Jian-Le(Department of Physics, Hangzhon Teachers College, Hangzhou 310018, China) 

刊 名： 理論物理通訊（英文版）  ISTIC SCI 英文刊名： COMMUNICATIONS IN THEORETICAL PHYSICS  年，卷(期)： 2005 43(2)  分類號：   關(guān)鍵詞： holonomic conservative system   Noether symmetry   non-Noether conserved quantity   general inifinitesimal transformations of groups  

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