Open AccessMomentum-dependent symmetries and non-Noether conserved quantities for mechanico-electrical systems
Author(s) -
Zheng Shi-wang,
Jing-Li Fu,
Xianhui Li
Publication year - 2005
Publication title -
wuli xuebao
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.