Article ID: CBB001421691

From the Necessary to the Possible: The Genesis of the Spin-Statistics Theorem (2014)

unapi

The spin-statistics theorem, which relates the intrinsic angular momentum of a single particle to the type of quantum statistics obeyed by a system of many such particles, is one of the central theorems in quantum field theory and the physics of elementary particles. It was first formulated in 1939/40 by Wolfgang Pauli and his assistant Markus Fierz. This paper discusses the developments that led up to this first formulation, starting from early attempts in the late 1920s to explain why charged matter particles obey Fermi-Dirac statistics, while photons obey Bose-Einstein statistics. It is demonstrated how several important developments paved the way from such general philosophical musings to a general (and provable) theorem, most notably the use of quantum field theory, the discovery of new elementary particles, and the generalization of the notion of spin. It is also discussed how the attempts to prove a spin-statistics connection were driven by Pauli from formal to more physical arguments, culminating in Pauli's 1940 proof. This proof was a major success for the beleaguered theory of quantum field theory and the methods Pauli employed proved essential for the renaissance of quantum field theory and the development of renormalization techniques in the late 1940s.

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Authors & Contributors
Rédei, Miklós
Bacciagaluppi, Guido
Battimelli, Giovanni
Byrne, Peter
Crull, Elise
Eckert, Michael
Journals
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
Archive for History of Exact Sciences
Perspectives on Science
Endeavour: Review of the Progress of Science
European Physical Journal H
Journal of Dialectics of Nature
Publishers
University of Pittsburgh
Oxford University Press
Springer International Publishing
Concepts
Quantum mechanics
Theoretical physics
Atomic, nuclear, and particle physics
Physics
Philosophy of science
Fields and field theory
People
Pauli, Wolfgang Ernst
Bohr, Niels Henrik David
Einstein, Albert
Heisenberg, Werner
Schrödinger, Erwin
Von Neumann, John
Time Periods
20th century, early
20th century
20th century, late
Places
Austria
United States
Munich (Germany)
Canada
Germany
Italy
Institutions
Massachusetts Institute of Technology, MIT
Niels Bohr Institutet, Copenhagen
Carnegie Institute of Technology
Munich. Universität
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