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Momentum-dependent symmetries and non-Noether conserved quantities for mechanico-electrical systems

Li Xian-Hui Zheng Shi-Wang Fu Jing-Li

Momentum-dependent symmetries and non-Noether conserved quantities for mechanico-electrical systems

Li Xian-Hui, Zheng Shi-Wang, Fu Jing-Li
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  • Received Date:  10 December 2004
  • Accepted Date:  27 June 2005
  • Published Online:  20 December 2005

Momentum-dependent symmetries and non-Noether conserved quantities for mechanico-electrical systems

  • 1. (1)青岛大学物理系,青岛 266071; (2)商丘师范学院物理系,商丘 476000; (3)商丘师范学院物理系,商丘 476000;浙江理工大学物理系,杭州 310018;青岛大学物理系,青岛 266071

Abstract: The Hamiltonian canonical equation of the systems, the definition, criterion, structure equation and conserved quantities of momentum-dependent symmetries for Lagrange-Maxwell mechanico-electrical systems were presented. This work shows that the function ψ in the structure equation is only an invariant on the symmetry group. A new method to deduce conserved quantities of mechanico-electrical systems is obtained. An example is designed to illustrate these results.

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