Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion

doi:10.1088/1674-1056/20/11/110202

中国物理B ›› 2011, Vol. 20 ›› Issue (11): 110202-110202.doi: 10.1088/1674-1056/20/11/110202

Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion

孙现亭¹, 张美玲², 王肖肖², 解银丽², 贾利群²

(1)School of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467002, China; (2)School of Science, Jiangnan University, Wuxi 214122, China

收稿日期:2011-05-25 修回日期:2011-06-10 出版日期:2011-11-15 发布日期:2011-11-15

Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion

Zhang Mei-Ling(张美玲)^a), Sun Xian-Ting(孙现亭)^b), Wang Xiao-Xiao(王肖肖)^a),Xie Yin-Li(解银丽)^a), and Jia Li-Qun(贾利群)^a)^†

^a School of Science, Jiangnan University, Wuxi 214122, China; ^b School of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467002, China

Received:2011-05-25 Revised:2011-06-10 Online:2011-11-15 Published:2011-11-15

摘要/Abstract

摘要： Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion are studied. The determining equation of Lie symmetry of Nielsen equations for a variable mass holonomic system of relative motion under the infinitesimal transformations of groups is given. The expression of generalized Hojman conserved quantity deduced directly from Lie symmetry for a variable mass holonomic system of relative motion is obtained. An example is given to illustrate the application of the results.

关键词: variable mass, relative motion, Lie symmetry, generalized Hojman conserved quantity

Abstract: Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion are studied. The determining equation of Lie symmetry of Nielsen equations for a variable mass holonomic system of relative motion under the infinitesimal transformations of groups is given. The expression of generalized Hojman conserved quantity deduced directly from Lie symmetry for a variable mass holonomic system of relative motion is obtained. An example is given to illustrate the application of the results.

Key words: variable mass, relative motion, Lie symmetry, generalized Hojman conserved quantity

中图分类号: (Lie algebras of Lie groups)

02.20.Sv

11.30.-j (Symmetry and conservation laws) 03.50.-z (Classical field theories)

张美玲, 孙现亭, 王肖肖, 解银丽, 贾利群. Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion[J]. 中国物理B, 2011, 20(11): 110202-110202.

Zhang Mei-Ling(张美玲), Sun Xian-Ting(孙现亭), Wang Xiao-Xiao(王肖肖), Xie Yin-Li(解银丽), and Jia Li-Qun(贾利群) . Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion[J]. Chin. Phys. B, 2011, 20(11): 110202-110202.

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Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion

Lie symmetry and the generalized Hojman conserved quantity of Nielsen equations for a variable mass holonomic system of relative motion

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