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The Spin pp 1–60Cite as

Spin, or actually: Spin and Quantum Statistics

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Part of the book series: Progress in Mathematical Physics ((PMP,volume 55))

Abstract

The history of the discovery of electron spin and the Pauli principle and the mathematics of spin and quantum statistics are reviewed. Pauli’s theory of the spinning electron and some of its many applications in mathematics and physics are considered in more detail. The role of the fact that the tree-level gyromagnetic factor of the electron has the value g e = 2 in an analysis of stability (and instability) of matter in arbitrary external magnetic fields is highlighted. Radiative corrections and precision measurements of g e are reviewed. The general connection between spin and statistics, the CPT theorem and the theory of braid statistics, relevant in the theory of the quantum Hall effect, are described.

“He who is deficient in the art of selection may, by showing nothing but the truth, produce all the effects of the grossest falsehoods. It perpetually happens that one writer tells less truth than another, merely because he tells more ‘truth’.” (T. Macauley, ‘History’, in Essays, Vol. 1, p 387, Sheldon, NY 1860)

Notes prepared with efficient help by K. Schnelli and E. Szabo

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Authors and Affiliations

  1. Theoretical Physics, ETH Zürich, CH, 8093, Zürich

    Jürg Fröhlich

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  1. Jürg Fröhlich
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  1. Service de Physique Théorique Orme des Merisiers, CEA - Saclay, 91191, Gif-sur-Yvette Cedex, France

    Bertrand Duplantier

  2. Laboratoire Kastler-Brossel Département Physique, ENS Paris, Rue Lhomond 24, 75231, Paris CX 05, France

    Jean-Michel Raimond

  3. Laboratoire de Physique Théorique, Université Paris-Sud, Campus d’Orsay, 91405, Orsay Cedex, France

    Vincent Rivasseau

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Fröhlich, J. (2009). Spin, or actually: Spin and Quantum Statistics. In: Duplantier, B., Raimond, JM., Rivasseau, V. (eds) The Spin. Progress in Mathematical Physics, vol 55. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8799-0_1

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