机电动力系统的动量依赖对称性和非Noether守恒量  

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

作　　者：郑世旺[1] 傅景礼[1] 李显辉[2] 

机构地区：[1]商丘师范学院物理系,商丘476000 [2]青岛大学物理系,青岛266071

出　　处：《物理学报》2005年第12期5511-5516,共6页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:10372053);河南省自然科学基金(批准号:0311011400)资助的课题.~~

摘　　要：研究了Lagrange-Maxwell机电动力系统的Hamilton正则方程及动量依赖对称性的定义、判据、结构方程和守恒量的形式.研究表明,结构方程中的函数ψ只需是对称群的不变量.得到求解机电动力系统守恒量的新方法,并给出了应用实例.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.

关 键 词：机电动力系统 Lie群分析 对称性 守恒量 

分 类 号：TH-39[机械工程]