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    PAULI AND THE SPIN-STATISTICS THEOREM

    by Ian Duck (Rice University, Texas, Houston, USA) & E C G Sudarshan (University of Texas at Austin, USA)

    This book makes broadly accessible an understandable proof of the infamous spin-statistics theorem. This widely known but little-understood theorem is intended to explain the fact that electrons obey the Pauli exclusion principle. This fact, in turn, explains the periodic table of the elements and their chemical properties. Therefore, this one simply stated fact is responsible for many of the principal features of our universe, from chemistry to solid state physics to nuclear physics to the life cycle of stars.

    In spite of its fundamental importance, it is only a slight exaggeration to say that “everyone knows the spin-statistics theorem, but no one understands it”. This book simplifies and clarifies the formal statements of the theorem, and also corrects the invariably flawed intuitive explanations which are frequently put forward.

    The book will be of interest to many practising physicists in all fields who have long been frustrated by the impenetrable discussions on the subject which have been available until now. It will also be accessible to students at an advanced undergraduate level as an introduction to modern physics based directly on the classical writings of the founders, including Pauli, Dirac, Heisenberg, Einstein and many others.

     
    Contents:
    • The Historic Era:
      • Discovery of the Exclusion Principle
      • The Discovery of the Electron Spin
      • Bose–Einstein Statistics
      • Wave Function of States of Many Identical Particles
      • Fermi-Dirac Statistics
      • Dirac's Invention of Quantum Field Theory
      • The Jordan-Wigner Invention of Anticommutation for Fermi-Dirac
      • From Hole Theory to Positrons
    • The Pauli Era:
      • Pauli's First Proof of the Spin-Statistics Theorem
      • Fierz's Proof of the Spin-Statistics Theorem
      • Belinfante's Proof of the Spin-Statistics Theorem
      • deWet's Proof Based on Canonical Field Theory
      • Pauli's Proof of the Spin-Statistics Theorem
    • The Wightman-Schwinger Era:
      • Feynman's Proof and Pauli's Criticism
      • Schwinger's Proof from Time Reversal Invariance
      • The Proofs of Lüders and Zumino, and of Burgoyne
      • The Hall–Wightman Theorem
      • Schwinger, Euclidean Field Theory, Source Theory, and the Spin-Statistics Connection
    • The Contemporary Era:
      • Responses to Neuenschwander's Question. Evaluation of Intuitive Proofs of the Spin-Statistics Theorem
      • Overview and Epilog
     
    Readership: Physicists, mathematical physicists and chemical physicists
     
    “The reviewer recommends the book as a good starting point for the student who wishes to acquire an understanding of the Spin-Statistics Connection both in its historical context and in the present state of knowledge.”
    Arthur Wightman
    American Journal of Physics
     
    524pp    Pub. date: Mar 1998  
    ISBN:   978-981-02-3114-9
    981-02-3114-8
       US$92 / £60

     


    524pp    Pub. date: Mar 1998  
    ISBN:   978-981-281-703-7(ebook)
    981-281-703-4(ebook)
       US$120

     


     

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    Updated on 10 February 2012