Symmetry of Lagrangians of holonomic nonconservative system in event space

doi:10.1088/1674-1056/21/7/070208

中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70208-070208.doi: 10.1088/1674-1056/21/7/070208

Symmetry of Lagrangians of holonomic nonconservative system in event space

张斌, 方建会, 张伟伟

College of Science, China University of Petroleum (East China), Qingdao 266580, China

收稿日期:2011-12-20 修回日期:2012-01-10 出版日期:2012-06-01 发布日期:2012-06-01
基金资助:
Project supported by the Fundamental Research Funds for the Central Universities, China (Grant No. 09CX04018A), the Natural Science Foundation of Shandong Province, China (Grant No. ZR2011AM012), and the Postgraduate's Innovation Foundation of China University of Petroleum (East China) (Grant No. CXYB11-12).

Symmetry of Lagrangians of holonomic nonconservative system in event space

Zhang Bin(张斌), Fang Jian-Hui(方建会)^†, and Zhang Wei-Wei(张伟伟)

College of Science, China University of Petroleum (East China), Qingdao 266580, China

Received:2011-12-20 Revised:2012-01-10 Online:2012-06-01 Published:2012-06-01
Contact: Fang Jian-Hui E-mail:fangjh@upc.edu.cn
Supported by:
Project supported by the Fundamental Research Funds for the Central Universities, China (Grant No. 09CX04018A), the Natural Science Foundation of Shandong Province, China (Grant No. ZR2011AM012), and the Postgraduate's Innovation Foundation of China University of Petroleum (East China) (Grant No. CXYB11-12).

摘要/Abstract

摘要： This paper analyzes the symmetry of Lagrangians and the conserved quantity for the holonomic non-conservative system in the event space. The criterion and the definition of the symmetry are proposed first, then a quantity caused by the symmetry and its existence condition are given. An example is shown to illustrate the application of the result in the end.

关键词: symmetry of Lagrangians, event space, holonomic nonconservative system, conserved quantity

Abstract: This paper analyzes the symmetry of Lagrangians and the conserved quantity for the holonomic non-conservative system in the event space. The criterion and the definition of the symmetry are proposed first, then a quantity caused by the symmetry and its existence condition are given. An example is shown to illustrate the application of the result in the end.

Key words: symmetry of Lagrangians, event space, holonomic nonconservative system, conserved quantity

中图分类号: (Geometry, differential geometry, and topology)

02.40.-k

11.30.-j (Symmetry and conservation laws) 11.10.Ef (Lagrangian and Hamiltonian approach)

张斌, 方建会, 张伟伟 . Symmetry of Lagrangians of holonomic nonconservative system in event space[J]. 中国物理B, 2012, 21(7): 70208-070208.

Zhang Bin(张斌), Fang Jian-Hui(方建会), and Zhang Wei-Wei(张伟伟) . Symmetry of Lagrangians of holonomic nonconservative system in event space[J]. Chin. Phys. B, 2012, 21(7): 70208-070208.

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Symmetry of Lagrangians of holonomic nonconservative system in event space

Symmetry of Lagrangians of holonomic nonconservative system in event space

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