Conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems

doi:10.1088/1674-1056/18/11/006

中国物理B ›› 2009, Vol. 18 ›› Issue (11): 4643-4649.doi: 10.1088/1674-1056/18/11/006

Conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems

李元成¹, 王小明¹, 夏丽莉²

(1)College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China; (2)Department of Physics, Henan Institute of Education, Zhengzhou 450014, China

收稿日期:2009-01-13 修回日期:2009-03-19 出版日期:2009-11-20 发布日期:2009-11-20

Conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems

Li Yuan-Cheng(李元成)^a)†, Xia Li-Li(夏丽莉)^b), and Wang Xiao-Ming(王小明)^a)

^a College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China; ^b Department of Physics, Henan Institute of Education, Zhengzhou 450014, China

Received:2009-01-13 Revised:2009-03-19 Online:2009-11-20 Published:2009-11-20

摘要/Abstract

摘要： This paper studies conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems. The definition and the determining equation of conformal invariance for mechanico-electrical systems are provided. The conformal factor expression is deduced from conformal invariance and Lie symmetry under the infinitesimal single-parameter transformation group. The generalized Hojman conserved quantities from the conformal invariance of the system are given. An example is given to illustrate the application of the result.

Abstract: This paper studies conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems. The definition and the determining equation of conformal invariance for mechanico-electrical systems are provided. The conformal factor expression is deduced from conformal invariance and Lie symmetry under the infinitesimal single-parameter transformation group. The generalized Hojman conserved quantities from the conformal invariance of the system are given. An example is given to illustrate the application of the result.

Key words: mechanico-electrical systems, conformal invariance, conformal factor, generalized Hojman conserved quantities

中图分类号: (General theory of classical mechanics of discrete systems)

45.05.+x

02.20.Qs (General properties, structure, and representation of Lie groups) 02.30.Jr (Partial differential equations)

李元成, 夏丽莉, 王小明. Conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems[J]. 中国物理B, 2009, 18(11): 4643-4649.

Li Yuan-Cheng(李元成), Xia Li-Li(夏丽莉), and Wang Xiao-Ming(王小明) . Conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems[J]. Chin. Phys. B, 2009, 18(11): 4643-4649.

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Conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems

Conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems

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