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Conformal invariance and Hojman conservedquantities of first order Lagrange systems |
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| Authors: | Chen Xiang-Wei Liu Chang and Mei Feng-Xiang |
| Institution: | College of Science, Beijing Institute of Technology, Beijing 100081, China; Department of Physics and Information Engineering, Shangqiu Teachers College, Shangqiu 476000, 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. |
| Keywords: | first order Lagrange systems infinitesimal transformation conformal invariance Hojman conserved quantities |
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