The Connection Between Spin and Statistics

W. Pauli
Phys. Rev. 58, 716 – Published 15 October 1940
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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 Fermi-Dirac statistics for particles with arbitrary half-integral spin; from postulate (II), according to which observables on different space-time points with a space-like distance are commutable, the necessity of Einstein-Bose 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,+ε,ε with ε2=1.

  • Received 19 August 1940

DOI:https://doi.org/10.1103/PhysRev.58.716

©1940 American Physical Society

Authors & Affiliations

W. Pauli

  • Physikalisches Institut, Eidg. Technischen Hochschule, Zürich, Switzerland
  • Institute for Advanced Study, Princeton, New Jersey

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Issue

Vol. 58, Iss. 8 — October 1940

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