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Conformal invariance and generalized Hojman conserved quantities of mechanico-electrical systems |
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| Authors: | Li Yuan-Cheng Xia Li-Li Wang Xiao-Ming |
| Affiliation: | College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China; Department of Physics, Henan Institute of Education, Zhengzhou 450014, China |
| Abstract: | This paper studies conformal invariance and generalizedHojman conserved quantities of mechanico-electrical systems. Thedefinition and the determining equation of conformal invariance formechanico-electrical systems are provided. The conformal factorexpression is deduced from conformal invariance and Lie symmetryunder the infinitesimal single-parameter transformation group. Thegeneralized Hojman conserved quantities from the conformalinvariance of the system are given. An example is given toillustrate the application of the result. |
| Keywords: | mechanico-electrical systems conformal invariance conformal factor generalized Hojman conserved quantities |
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