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

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

doi:10.7498/aps.54.5511

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.

Keywords:
mechanico-electrical system /

Lie group analysis /

symmetry /

conserved
Authors and contacts
Zheng Shi-Wang²,

Fu Jing-Li³,

Li Xian-Hui¹

(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
References

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Vol. 54, Issue 12 - 2005-06-20

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

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

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