Pauli and the Spin-Statistics Theorem

by Duck, Ian; Sudarshan, E. C. G.; Sudarshan, E. C. G.; Duck, Ian; Pauli, Wolfgang

• ISBN13: 9789810231149
• ISBN10: 9810231148
• Format: Hardcover
• Copyright: 1998-01-01
• Publisher: World Scientific Pub Co Inc

Table of Contents

AUTHORS	IX	(1)
ACKNOWLEDGEMENTS	X
FOREWORD	1-20
$0.1: Introduction
0.2: Preliminary Remarks
0.3: Anti-commutation Relations for Dirac Spin-(1/2) fields
0.4: Commutation Relations for Klein-Gordon Fields
0.5: Concluding Remarks
Bibliography and References
Part I: The Historic Era
CHAPTER 1 Discovery of the Exclusion Principle	21-49	(28)
1.1: Introduction
1.2: Pauli's Deduction of the Exclusion Principle
1.3: Stoner's Explanation of the Periodic Table
1.4: Biographical Note on E.C. Stoner
1.5: Bibliography and References
Appendix 1A: from W. Pauli, Zeits. f. Phys. 31, 765 (1925)
Appendix 1B: from E.C. Stoner, Phil. Mag. 48, 719 (1924).
CHAPTER 2 The Discovery of the Electron Spin -(1/2)	50-71	(21)
2.1: Introduction
2.2: Goudsmit and Uhlenbeck's Discovery of Spin
2.3: Kronig's Frustrated Discovery of the Electron Spin
2.4: Biographical Notes on: A.H. Compton, S.A. Goudsmit, G.E. Uhlenbeck, and R.deL. Kronig
Bibliography and References
Appendix 2A: from G.E. Uhlenbeck and S.A. Goudsmit, Die Naturwissenschaften 47, 953 (1925)
Appendix 2B: from G.E. Uhlenbeck and S.A. Goudsmit, Nature 117, 264 (1926)
Appendix 2C: from A.H. Compton, Journal of the Franklin Institute 192, 145 (1921)
Appendix 2D: from R.deL. Kronig, Nature 117, 550 (1926)
CHAPTER 3 Bose-Einstein Statistics	72-107	(35)
3.1: Bose's Quantum Derivation of Planck's Distribution
3.2: Einstein's Application of Bose's New Insight
3.3: Biographical Note on S.N. Bose
Bibliography and References
Appendix 3A: from Bose, Zeits. f. Phys. 26, 178 (1924)
Appendix 3B, C, D: from A. Einstein, S.B.d. Preuss. Akad. Wiss. Ber. 22, 261 (1924); 1, 3 (1925); 3, 18 (1925)
CHAPTER 4 Wave Function of States of Many Identical Particles	108-130	(22)
4.1: Introduction
4.2: Heisenberg's Deduction of the Symmetrization Requirement
4.3: Dirac's Introduction of the Symmetrization Postulate
4.4: Epilog
4.5: Biographical Note on Heisenberg
Bibliography and References
Appendix 4A: from W. Heisenberg, Zeits. f. Phys. 38, 411 (1926)
from P.A.M. Dirac, Proc. Roy. Soc. A112, 661 (1926)
CHAPTER 5 Fermi Dirac Statistics	131-148	(17)
5.1: Introduction to Fermi's Derivation
5.2: Dirac's Derivation of Fermi-Dirac Statistics
5.3: Biographical Note on Enrico Fermi
Bibliography and References
Appendix 5A: from E. Fermi, Zeits. f. Phys. 36, 902 (1926)
Appendix 5B: from P.A.M. Dirac, Proc. Roy. Soc. A112, 661 (1926)
CHAPTER 6 Dirac's Invention of Quantum Field Theory	149-167	(18)
6.1: Introductory Remarks
6.2: Dirac's Invention of Second Quantization
6.3: Application to Photon Emission and Absorption
Bibliography and References
Appendix 6A: from P.A.M. Dirac, Proc. Roy. Soc. A114, 243 (1927)
CHAPTER 7 The Jordan- Wigner Invention of Anticommutation for Fermi-Dirac Fields	168-203	(35)
7.1: Introduction
7.2: Jordan's Introduction of Anticommutation Relations
7.3: Jordan and Wigner's Algebraic Developments
7.4: Biographical Note on E.P. Jordan
Bibliography and References
Appendix 7A: from P. Jordan, Zeits. f. Phys. 44, 473 (1927)
Appendix 7B: from P. Jordan and E. Wigner, Zeits. f. Phys. 47, 631 (1928)
CHAPTER 8 From Hole Theory to Positrons	204-228	(24)
8.1: The Dirac Equation
8.2: The Reinterpretation of Holes as Antiparticles
8.3: Feynman's Interpretation of Dirac's Scenario
8.4: Biographical Note on Dirac
Bibliography and References
Appendix 8A: from P.A.M. Dirac, Proc. Roy. Soc. A 117, 610 (1928)
Appendix 8B: from P.A.M. Dirac, Proc. Roy. Soc. A 126, 360 (1930)
Appendix 8C: from J.R. Oppenheimer, Phys. Rev. 35, 562 (1930)
Appendix 8D: from H. Weyl, The Theory of Groups and Quantum Mechanics (Dover, New York, 1930)
Appendix 8E: from P.A.M. Dirac, Proc. Roy. Soc. A 133, 60 (1931)
Appendix 8F: from C.D. Anderson, Phys. Rev. 43, 491 (1933)
CHAPTER 9 Canonical Quantization of the Klein-Gordon Field	229-255	(26)
9.1: Introduction
9.2: Review of Lagrangian and Hamiltonian Classical Mechanics
9.3: Canonical Quantization, First and Second Quantization
9.4: Quantization of the Klein-Gordon Field
9.5: Biographical Note on Weisskopf; Bibliography and References
Appendix 9A: from W. Pauli and V. Weisskopf, Helv. Phys. Acta 7, 709 (1934)
Part II: The Pauli Era
CHAPTER 10 Pauli's First Proof of the Spin-Statistics Theorem	256-276	(20)
10.1: Pauli's First Proof
10.2: Iwanenko and Socolow's Second Quantization of the Dirac Equation
10.3: Biographical Note on Iwanenko and Socolow
Bibliography and References
Appendix 10A: from W. Pauli, Ann. Inst H. Poincare 6, 137 (1936)
Appendix 10.B: D. Iwanenko and A. Socolow, Phys. Zeits. d. Sowjetunion 11, 590 (1937)
CHAPTER 11 Fierz's Proof of the Spin-Statistics Theorem	277-300	(23)
11.1: Introduction
11.2: Guide to Fierz's Proof: Integral Spin
11.3: Guide to Fierz's Proof; Half-Integral Spin
11.4: Concluding Remarks
11.5: Biographical Note on Fierz
Bibliography and References
Appendix 11A: from M. Fierz, Helv. Phys. Acta 12, 3 (1939)
CHAPTER 12 Belinfante's Proof of the Spin-Statistics Theorem	301-329	(28)
12.1: Introduction
12.2: Belinfante's Proof using Charge-Conjugation
12.3: Pauli's Criticism
12.4: Concluding Remarks
12.5: Biographical Note on F.J. Belinfante, Physica 6, 870 (1939)
Bibliography and References
Appendix 12A: from F.J. Belinfante, Physica 6, 870 (1939)
Appendix 12B: from W. Pauli and F.J. Belinfante, Physica 7, 177 (1940)
CHAPTER 13 deWet's Proof Based on Canonical Field Theory	330-344	(14)
13.1: Introduction
13.2: deWet's Proof of the Spin-Statistics Theorem
13.3: Biographical Note on J.S. deWet
Bibliography and References
Appendix 13A: from J.S. deWet, PhD Thesis, Princeton Mathematics, 1939
Appendix 13B: J.S. deWet, Phys. Rev. 57, 646 (1940)
CHAPTER 14 Pauli's Proof of the Spin-Statistics Theorem	345-366	(21)
14.1: Introduction
14.2: Outline of Pauli's Proof
14.3: Guide to Pauli's Proof
14.4: Summary of Pauli's Proof
14.5: Comparison of Fierz and Pauli Proofs
14.6: Biographical Note on Pauli
Bibliography and References
Appendix 14A: from W. Pauli, Phys. Rev. 58, 716 (1940)
Part III: The Wightman-Schwinger Era
CHAPTER 15 Feynman's Proof and Pauli's Criticism	368-389	(21)
15.1: Introduction
15.2: Feynman's Calculation of Vacuum Polarization
15.3: Pauli's Analysis of Feyman's Proof
15.4: Concluding Remarks
15.5: Biographical Note on Feynman
Bibliography and References
Appendix 15A: from R.P. Feynman, Phys. Rev. 76, 749 (1949)
Appendix 15B: from R.P. Feynman, Phys. Rev. 76, 769 (1949)
Appendix 15C: from W. Pauli, Progr. Theor. Phys. 5, 526 (1950)
CHAPTER 16 Schwinger's Proof Using Time Reversal Invariance	390-404	(14)
16.1: Introduction
16.2: Schwinger's Proof
16.3: Concluding Remarks
16.4: Biographical Note on Schwinger
Bibliography and References
Appendix 16A: from J. Schwinger, Phys. Rev. 82, 914 (1951)
CHAPTER 17 The Proofs of Luders and Zumino, and of Burgoyne	405-424	(19)
17.1: Introduction. The Luders and Zumino Proof
17.2: Burgoyne's Proof of the Spin-Statistics Theorem
17.3: Concluding Remarks
17.4: Biographical Notes on Luders, Zumino, and Burgoyne
Bibliography and References
Appendix 17A: from G. Luders and B. Zumino, Phys. Rev. 110, 1450 (1958)
Appendix 17B: from N. Burgoyne, Nuovo Cim. 8, 607 (1958).
CHAPTER 18 The Hall-Wightman Theorem	425-447	(22)
18.1: Introduction. Analytic Continuation for Free Fields
18.2: The Essential Result of the Hall-Wightman Theorem
18.3: Jost's Summary of the Pauli Era
18.4: Biographical Note on Wightman
18.5: Biographical Note on Jost
Bibliography and References
Appendix 18A: from A.S. Wightman, Phys. Rev. 101, 860 (1956)
Appendix 18B: from D. Hall and A.S. Wightman, Mat. Fys. Medd. Dan. Vid. Selsk. 31, 5 (1957)
Appendix 18C: from R. Jost, in Theoretical Physics in the Twentieth Century: A Memorial Volume to Wolfgang Pauli (Interscience, New York, 1960)
CHAPTER 19 Schwinger, Euclidean Field Theory, Source Theory, and the Spin-Statistic Connection	448-463	(15)
19.1: Introduction
19.2: Euclidean Field Theory
19.3: Euclidean Proof of the Spin-Statistics Theorem
19.4: Schwinger's Source Theory
19.5: Concluding Remarks; Bibliography and References.
Part IV: The Contemporary Era
CHAPTER 20 Responses to Neuenschwender's Question. Evaluation of Intuitive Proofs of the Spin-Statistics Theorem	464-484	(20)
20.1: Introduction
20.2: Bacry's Proof and Hilborn's Critique
20.3: Topological Markers and Feynman's Models
20.4: Critique of Topological Markers
20.4: Feynman's Unitarity Argument Revisited
Bibliography and References.
CHAPTER 21 Overview and Epilog	485-503	(18)
21.1: Introduction
21.2: Elementary Proof of the Spin-Statistics Theorem
21.3: Further Comment on the Elementary Proof
21.4: Dirac Equation from Grassmann Theory
21.5: No Bose-Einstein Dirac Action
21.6: No Fermi-Dirac Klein-Gordon Action
21.7: Concluding Remarks
21.8: Final Summary
Bibliography and References.
Index	505