Conformal Invariance and a New Type of Conserved Quantities of MechanicalSystems with Variable Mass in Phase Space |
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Authors: | ZHANG Ming-Jiang FANG Jian-Hui LIN Peng LU Kai PANG Ting |
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Affiliation: | College of Physics Science and Technology, China University of Petroleum, Dongying 257061, China |
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Abstract: | Conformal invariance and a new type of conserved quantities of mechanical systems with variable mass in phase space are studied. Firstly, the definition and determining equation of conformal invariance are presented. The relationship between the conformal invariance and the Lie symmetry is given, and the necessary and sufficient condition that the conformal invariance would be the Lie symmetry under the infinitesimal transformations is provided.Secondly, a new type of conserved quantities of the conformal invariance are obtained by using the Lie symmetry of the system. Lastly, an example is given to illustrate the application of the results. |
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Keywords: | conformal invariance conserved quantity variable mass system phase space |
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