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Noether-Lie symmetry and conserved quantities of the Rosenberg problem

Liu Xiao-Wei Li Yuan-Cheng

Noether-Lie symmetry and conserved quantities of the Rosenberg problem

Liu Xiao-Wei, Li Yuan-Cheng
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  • Received Date:  08 October 2010
  • Accepted Date:  16 October 2010
  • Published Online:  15 July 2011

Noether-Lie symmetry and conserved quantities of the Rosenberg problem

  • 1. College of Physics Science and Technology, China University of Petroleum (East China)Qingdao 266555,China

Abstract: The Noether-Lie symmetry and conserved quantities of the Rosenberg problem are studied. From the study of the Rosenberg problem,the Noether symmetry and the Lie symmetry for the equation are obtained, thereby the conserved quantities are deduced. Then the definition and the criterion for Noether-Lie symmetry of the Rosenberg problem are derived. Finally,the Noether conserved quantity and the Hojman conserved quantity are deduced from the Noether-Lie symmetry.

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