Pauli And The Spin-Statistics Theorem by Ian Duck (PDF)

Description

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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The age old question of how and why particles of spin n+1/2 are the antisymmetric entities that we know as Fermions, while particles of integral spin are the symmetric entities that we know as Bosons, is addressed from a quasi-historical perspective. Beginning with Pauli’s 1925 Zeitschift fur Phyzik paper the concept of the spin 1/2 electron is introduced with the translation of Pauli’s paper. After some additional background provided by papers by Bose and Einstein on Bose-Einstein statistics, Dirac’s 1928 paper is presented. The discovery of the positron by Anderson in 1932 and Oppenheimer’s 1930 paper interpreting Dirac’s work as predicting an antiparticle of the electron with the same mass as the electron are also given. From there the papers of Pauli and Fierz in the late 1930’s and early 1940’s are presented. The contributions of Luders, Zumino, and Burgoyne; Hall and Wightman; Schwinger, and Feynman are given as well.In addition to the original journal articles (sometimes in abbreviated form) the authors discuss some of the relevant issues. All in all, I found this book quite interesting and helpful. The only significant omission of which I am aware (while freely admitting that my knowledge and understanding of the Spin Statistics Theorem is still quite rudimentary) is that of the contribution of Steven Weinberg, as can be acquired from his papers published in the mid to late 1960’s (beginning with his Phys. Rev. 113, B1318 (1964) paper) and from his comprehensive textbook

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