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

Zheng Shi-wang | Zendy; Jing-Li Fu | Zendy; Li Xianhui | Zendy

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

Author(s) -

Zheng Shi-wang,

Jing-Li Fu,

Li Xianhui

Publication year - 2005

Publication title -

acta physica sinica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.199

H-Index - 47

ISSN - 1000-3290

DOI - 10.7498/aps.54.5511

Subject(s) - noether's theorem , conserved quantity , homogeneous space , physics , conservation law , mathematical physics , momentum (technical analysis) , conserved current , classical mechanics , quantum mechanics , lagrangian , mathematics , geometry , finance , economics

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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