量子水平的Noether定理

Noether Theorem at the Quantal Level

从有限自由度系统位形空间中的生成泛函出发 ,导出了正规拉氏量系统和奇异拉氏量系统在量子情形下的 Noether定理 .应用傅里叶展开 ,在有限自由度系统的量子 Noether定理中也能去掉基态符号| 0〉.

Based on the configurationspace generating functional for a system with a finite number of degrees of freedom,the Noether theorem at the quantum level is derived.Appling to motion of the particles in potential,the conserved quantity at the classical level may not hold true at the quantum level.