Demonstration of the Spin-Statistics Connection in Elementary Quantum Mechanics

Abstract

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.