初等量子力学中自旋统计联系的证明
Demonstration of the spin-statistics connection in elementary quantum mechanics
摘要:
自旋统计连接的一个简单的演示。本文综述了交换算符和空间反转算符对两粒子态的影响。这种联系直接来自于将这些运算连续应用于处于s态的全同粒子的两粒子波函数,该波函数在空间坐标$\pm x$处计算,但在相同的时间,\emph{i.e.},在类空间隔处计算。
英文摘要:
A simple demonstration of the spin-statistics connection is presented. The effect of exchange and space inversion operators on two-particle states is reviewed. The connection follows directly from successive application of these operations to the two-particle wave function for identical particles in an s-state, evaluated at spatial coordinates $\pm x$, but at equal time, \emph{i.e.}, at spacelike interval.
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