On the classical theory of the spinning electron

doi:10.1016/S0031-8914(34)80276-5

Physica

Volume 1, Issues 7–12, May 1934, Pages 825-828

https://doi.org/10.1016/S0031-8914(34)80276-5 Get rights and content

Summary

The ratio e/mc of magnetic moment and angular momentum of the electronic spin can classically be derived, without referring to a detailed classical model of the constitution of the electron. The theory leads to a simple classical derivation of the Thomas factor.

References (1)

L.H. Thomas
Nature
(April 10, 1926)

Cited by (25)

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Citation Excerpt :
Spin is a peer of modern quantum theory. In attempt to understand its origin various classical models have been proposed [1–9]; for review see [10–12]. The underlying ideas have been extended and further developed in a number of more recent papers [13], [14].
The extensive analysis of the dynamics of relativistic spinning particles is presented. Using the coadjoint orbits method the Hamiltonian dynamics is explicitly described. The main technical tool is the factorization of general Lorentz transformation into pure boost and rotation. The equivalent constrained dynamics on Poincare group (viewed as configuration space) is derived and complete classification of constraints is performed. It is shown that the first class constraints generate local symmetry corresponding to the stability subgroup of some point on coadjoint orbit. The Dirac brackets for second class constraints are computed. Finally, canonical quantization is performed leading to infinitesimal form of irreducible representations of Poincare group.
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On the classical theory of the spinning electron

Summary

Nature