Conformal invariance and Hojman conservedquantities of first order Lagrange systems
Chen Xiang-Wei(陈向炜)a)†, Liu Chang(刘畅)b), and Mei Feng-Xiang (梅凤翔)b)
aDepartment of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000, China; bCollege of Science, Beijing Institute of Technology, Beijing 100081, China
Abstract In this paper the conformal invariance by infinitesimal transformations of first order Lagrange systems is discussed in detail. The necessary and sufficient conditions of conformal invariance and Lie symmetry simultaneously by the action of infinitesimal transformations are given. Then it gets the Hojman conserved quantities of conformal invariance by the infinitesimal transformations. Finally an example is given to illustrate the application of the results.
Received: 01 January 2008
Revised: 27 January 2008
Accepted manuscript online:
(Dynamics and kinematics of a particle and a system of particles)
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10372053, 10572021
and 10772025) and the National Natural Science Foundation of Henan
province of China(Grant
No 0311010900).
Cite this article:
Chen Xiang-Wei(陈向炜), Liu Chang(刘畅), and Mei Feng-Xiang (梅凤翔) Conformal invariance and Hojman conservedquantities of first order Lagrange systems 2008 Chin. Phys. B 17 3180
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