## Pauli And The Spin-statistics TheoremThis 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

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 |

### Other editions - View all

Pauli and the Spin-statistics Theorem Ian Duck,Wolfgang Pauli,E. C. G. Sudarshan Limited preview - 1997 |

### Common terms and phrases

amplitude angular momentum anticommutation anticommutation relations antisymmetric argument atom Belinfante's Bohr Bose-Einstein statistics Burgoyne c-number canonical charge density charge-conjugation invariance classical commutation relations components corresponding defined derivatives deWet Dirac equation doublets eigenfunctions eigenvalues electron entropy equivalent Fermi-Dirac statistics Feynman Fierz follows half-integral spin fields Hamiltonian Heisenberg Hermitian conjugate hole theory ideal gas identical particles integral spin interaction Iwanenko Jordan Klein-Gordon Lagrangian Liiders and Zumino Lorentz group magnetic matrix elements molecules negative energy operators P.A.M. Dirac paper Pauli Exclusion Principle photon Phys physical positive energy possible postulate problem Proc proof properties quantities quantum field theory quantum mechanics quantum numbers quantum theory radiation relativistic quantum field representation result rotation satisfy Schwinger solution space spectra spin and statistics spin-statistics connection Spin-Statistics Theorem spinor symmetric tensor total energy transformation undor vacuum expectation values vanish variables vector wave equation wave function Weisskopf Wightman Zeits zero