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
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.
Received: 13 January 2009
Revised: 19 March 2009
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
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 2009 Chin. Phys. B 18 4643
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