Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system

doi:10.1088/1674-1056/21/5/050202

中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50202-050202.doi: 10.1088/1674-1056/21/5/050202

Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system

方建会,张斌,张伟伟,徐瑞莉

College of Science, China University of Petroleum, Qingdao 266580, China

收稿日期:2011-11-27 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
基金资助:
Projct supported by the Natural Science Foundation of Shandong Province, China (Grant No. ZR2011AM012) and the Fundamental Research Funds for the Central Universities, China (Grant No. 09CX04018A).

Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system

Fang Jian-Hui(方建会)^†, Zhang Bin(张斌), Zhang Wei-Wei(张伟伟), and Xu Rui-Li(徐瑞莉)

College of Science, China University of Petroleum, Qingdao 266580, China

Received:2011-11-27 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
Supported by:
Projct supported by the Natural Science Foundation of Shandong Province, China (Grant No. ZR2011AM012) and the Fundamental Research Funds for the Central Universities, China (Grant No. 09CX04018A).

摘要/Abstract

摘要： In this paper, we investigate whether the Lie symmetry can induce the Mei conserved quantity directly in a nonconservative Hamilton system and a theorem is presented. The condition under which the Lie symmetry of the system directly induces the Mei conserved quantity is given. Meanwhile, an example is discussed to illustrate the application of the results. The present results have shown that the Lie symmetry of a nonconservative Hamilton system can also induce the Mei conserved quantity directly.

关键词: Lie symmetry, Mei conserved quantity, nonconservative Hamilton system

Abstract: In this paper, we investigate whether the Lie symmetry can induce the Mei conserved quantity directly in a nonconservative Hamilton system and a theorem is presented. The condition under which the Lie symmetry of the system directly induces the Mei conserved quantity is given. Meanwhile, an example is discussed to illustrate the application of the results. The present results have shown that the Lie symmetry of a nonconservative Hamilton system can also induce the Mei conserved quantity directly.

Key words: Lie symmetry, Mei conserved quantity, nonconservative Hamilton system

中图分类号: (Lie algebras of Lie groups)

02.20.Sv

11.30.-j (Symmetry and conservation laws) 45.20.Jj (Lagrangian and Hamiltonian mechanics)

方建会,张斌,张伟伟,徐瑞莉. Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system[J]. 中国物理B, 2012, 21(5): 50202-050202.

Fang Jian-Hui(方建会), Zhang Bin(张斌), Zhang Wei-Wei(张伟伟), and Xu Rui-Li(徐瑞莉) . Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system[J]. Chin. Phys. B, 2012, 21(5): 50202-050202.

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Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system

Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system

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