角动量耦合态的时间反演

The time reversal of angular momentum Coupled state

本文针对角动量(含自旋)分别为的二粒子系统的角动量耦合态J_1J_2Jm>(即的共同本征态,其中,。以下此耦合态简记为Jm>.),在时间反演算子作用下的演化过程做了理论推导,最后所得结果为:Jm>=(-)^(j-m)J,-m>。

For the system consisting of two particles which angular momentums (containing spin) is, respec tively, J1 and J2, this paper derives theoretically on the evolution process of the angular momentum coupled state | J1+J2Jm> (That is the common eigenstate of J_1~2、J_2~2、J2 and Jz. Where J equals to J1 +J2. This coupled state will be written simply as | Jm>in the following)under the time reversal oper ator П operating. The final result obtained is П| Jm>= (-)J-m | J-m>.