转动相对论性变质量系统的广义Noether定理

研究转动相对论性变质量系统的广义Noether定理,首先给出转动相对论性变质量非完整系统的Lagrange方程;其次利用Hamilton作用量在无限小变换下的不变性,研究了转动相对论性变质量非完整系统的广义Noether定理和转动相对论性变质量非完整系统的广义Noether逆定理;结论具有普遍意义,对于经典情形和相对论情形都适用,若%m-{oi%}为常量,结果化为转动相对论性常质量的Noether定理;若%-iΓ-i,ω-iΓ-i,%结果化为经典转动变质量系统的Noether定理;若为常量,且%Γ-i,ω-iΓ-i,%则结果化为经典转动常质量系统的Noether定理.

Noether's theorem of rotational relativstic variable mass system

A generalized Noether theorem of rotational relative variable mass system is studied. First, the Lagrange equation for rotational relative variable mass system is given. Second, its generalized Noether theorem and generalized inverse theorem are obtained by using the Non-variability of Hamiltonian action under infinitesimal transformation. The given results here are general .