Pauli And The Spin-statistics Theorem

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World Scientific, Mar 13, 1998 - Science - 524 pages
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.
 

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Contents

Foreword
1
Chapter 1 Discovery of the Exclusion Principle
21
Chapter 2 The Discovery of the Electron Spin12
50
Chapter 3 BoseEinstein Statistics
72
Chapter 4 Wave Function of State of Many Identical Particles
108
Chapter 5 FermiDirac Statistics
131
Chapter 6 Diracs Invention of Quantum Field Theory
149
Chapter 7 The JordanWigner Invention of Anticommutation for FermiDirac Fields
168
Chapter 12 Belinfantes Proof of the SpinStatistics Theorem
301
Chapter 13 deWets Proof Based on Canonical Field Theory
330
Chapter 14 Paulis Proof of the SpinStatistics Theorem
345
Chapter 15 Feynmans Proof and Paulis Criticism
368
Chapter 16 Schwingers Proof Using TimeReversal Invariance
390
Chapter 17 The Proofs of Lűders and Zumino and of Burgoyne
405
Chapter 18 The HallWightman Theorem
425
Chapter 19 Schwinger Euclidean Field Theory Source Theory and the SpinStatistics Connection
448

Chapter 8 From Hole Theory to Positrons
204
Chapter 9 PauliWeisskopf Canonical Quantization of the KleinGordon Field
229
Chapter 10 Paulis First Proof of the SpinStatistics Theorem
256
Chapter 11 Fierzs Proof of the SpinStatistics Theorem
277
Chapter 20 Responses to Neuenschwanders Question
464
Chapter 21 Overview and Epilog
485
Index
505
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