【摘要】 基于有限自由度奇异Lagrange量系统的相空间Green函数生成泛函,导出了该系统在定域变换下的量子Noether恒等式,并指出无论变换的Jacobi行列式是否为1,结论均成立,且在某些情况下,由量子Noether恒等式可导出量子守恒律.利用量子运动方程,量子Noether恒等式可转化为量子(弱)守恒律,这种导致量子守恒律的程式有别于量子水平的Noether第1定理.更多还原

【Abstract】 Based on phase-space generating functional of Green function for a singular Lagrangian system with a finite number of degrees of freedom,the quantal canonical Noether identity(NI) under the local transformation is derived,in which there is no ground state sign of the system.It is pointed that the identity hold true no matter whether the Jacobian of the transformation is eaual to unity or not.The strong quantal conservation law deriving from NI is deduced.It is pointed out that in certain cases,the quantal NI may be converted into the quantal(weak) conservation laws by using the quantal equations of motion.This algorithm to derive the quantal(weak) conservation laws differs from the quantal first Noether theorem.更多还原