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Conformal invariance, Noether symmetry and Lie symmetry for holonomic mechanical system with variable mass

Chen Rong Xu Xue-Jun

Conformal invariance, Noether symmetry and Lie symmetry for holonomic mechanical system with variable mass

Chen Rong, Xu Xue-Jun
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  • Received Date:  19 April 2011
  • Accepted Date:  29 April 2011
  • Published Online:  20 January 2012

Conformal invariance, Noether symmetry and Lie symmetry for holonomic mechanical system with variable mass

  • 1. Department of Physics, Zhejiang Normal University, Jinhua 321004, China

Abstract: The conformal invariance of holonomic mechanical system with variable mass is studied. Firstly, the definition of conformal invariance for holonomic mechanical system with variable mass is given; secondly, the relation between the conformal invariance and the Noether symmetry is discussed, and the Noether conserved quantity led by the conformal invariance is obtained; finally, the relation between the conformal invariance and the Lie symmetry is discussed, and the Hojman conserved quantity caused by the conformal invariance of the systems is obtained. In the paper, an example is given to illustrate the application of the results.

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