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Pauli and the Spin-Statistics Theorem - Ian Duck

Pauli and the Spin-Statistics Theorem


Published: 1998
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This book aims to make 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 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 should 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 should also be acessible 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.

Forewordp. 1
The Historic Era
Discovery of the Exclusion Principlep. 21
The Discovery of the Electron Spin- 1/2p. 50
Bose-Einstein Statisticsp. 72
Wave Function of States of Many Identical Particlesp. 108
Fermi-Dirac Statisticsp. 131
Dirac's Invention of Quantum Field Theoryp. 149
The Jordan-Wigner Invention of Anticommutation for Fermi-Dirac Fieldsp. 168
From Hole Theory to Positronsp. 204
Canonical Quantization of the Klein-Gordon Fieldp. 229
The Pauli Era
Pauli's First Proof of the Spin-Statistics Theoremp. 256
Fierz's Proof of the Spin-Statistics Theoremp. 277
Belinfante's Proof of the Spin-Statistics Theoremp. 301
deWet's Proof Based on Canonical Field Theoryp. 330
Pauli's Proof of the Spin-Statistics Theoremp. 345
The Wightman-Schwinger Era
Feynman's Proof and Pauli's Criticismp. 368
Schwinger's Proof Using Time Reversal Invariancep. 390
The Proofs of Luders and Zumino, and of Burgoynep. 405
The Hall-Wightman Theoremp. 425
Schwinger, Euclidean Field Theory, Source Theory, and the Spin-Statistics Connectionp. 448
The Contemporary Era
Responses to Neuenschwander's Question. Evaluation of Intuitive Proofs of the Spin-Statistics Theoremp. 464
Overview and Epilogp. 485
Indexp. 505
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9789810231149
ISBN-10: 9810231148
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 524
Published: 1998
Publisher: World Scientific Publishing Co Pte Ltd
Country of Publication: SG
Dimensions (cm): 22.86 x 16.51  x 3.81
Weight (kg): 0.87