摘要
导出了相空间中的广义Noether恒等式,结合约束动力学系统的Dirac约束条件,可给出其变量间更多的约束关系,初步用于经典力学以及非相对论性荷电粒子在电磁场中的运动。在系统的Dirac约束所确定的超曲面上,相空间的Noethet恒等式给出某些守恒律(可不涉及Dirac猜想是否有效),或者可判明Dirac-Bergmann的求导出约束的程序须终止于那一步。
We have been deduced the generalized Noether's identies(GNI) in phase space. Combining these dentities with the constraint conditions of constrained dynamics system one can give rise to more coi strained relationship among some variables. Preliminary application of GNI to classical mechanics am nonrelativistic charge particles in an electromagnetic field, on the constrained hypersurface one car obtain some conservation laws which have been avoided the Dirac's conjecture, or can tell us wha stage will be terminate of Dirac-Bergmann's algorithm.
出处
《新疆大学学报（自然科学版）》
CAS
1990年第4期28-33,共6页
Journal of Xinjiang University(Natural Science Edition)
关键词
相空间
NOETHER
恒等式
奇异拉氏量
phase space
singular Lagrangian
Dirac's constraint
Noether's identities
conservatio
