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An Extensible Model of the Electron
P. A. M. Dirac
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
Vol. 268, No. 1332 (Jun. 19, 1962), pp. 57-67
Published by: Royal Society
Stable URL: http://www.jstor.org/stable/2414316
Page Count: 11
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It is proposed that the electron should be considered classically as a charged conducting surface, with a surface tension to prevent it from flying apart under the repulsive forces of the charge. Such an electron has a state of stable equilibrium with spherical symmetry, and if disturbed its shape and size oscillate. The equations of motion are deduced from an action principle and a Hamiltonian formalism is obtained. The energy of the first excited state with spherical symmetry is worked out according to the Bohr-Sommerfeld method of quantization, and is found to be about 53 times the rest-energy of the electron. It is suggested that this first excited state may be considered as a muon. The present theory has no electron spin, so it cannot agree accurately with experiment.
Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences © 1962 Royal Society