The Connection Between Spin and Statistics
Abstract
In the following paper we conclude for the relativistically invariant wave equation for free particles: From postulate (I), according to which the energy must be positive, the necessity of FermiDirac statistics for particles with arbitrary halfintegral spin; from postulate (II), according to which observables on different spacetime points with a spacelike distance are commutable, the necessity of EinsteinBose statistics for particles with arbitrary integral spin. It has been found useful to divide the quantities which are irreducible against Lorentz transformations into four symmetry classes which have a commutable multiplication like +1,1,+ɛ,ɛ with ɛ^{2}=1.
 Publication:

Physical Review
 Pub Date:
 October 1940
 DOI:
 10.1103/PhysRev.58.716
 Bibcode:
 1940PhRv...58..716P