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SO(5, 1) dynamical symmetry for electron Zitterbewegung

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Abstract

Electron rest-frame internal canonical coordinates are reobtained by the free-particle Foldy-Wouthuysen transformation: Schrödinger “microscopic momentum”, Barut-Bracken “microscopic coordinate”, and the rest Hamiltonian, which describe Zitterbewegung in this frame.SO(4, 1) Snyder space-time invariant quantization is considered in order to construct a dynamical group for Zitterbewegung. The electron's internal structure appears associated with its secondorder self-energy process and governed by the 15-parameter dynamical groupSO(5, 1). This is a generalization of Barut-Bracken symmetry which describes Zitterbewegung as generated by an algebra of the rotation groupSO(5). This noncompact symmetrySO(5, 1) permits a natural interpretation for the operators of its algebra and introduces a generalization to higher-dimensional fermionic representations.

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Authors and Affiliations

  1. Department of Physics, Faculty of Sciences, University of Concepción, P.O. Box 947, Chile

    S. A. Bruce & P. C. Minning

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  1. S. A. Bruce
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  2. P. C. Minning
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Bruce, S.A., Minning, P.C. SO(5, 1) dynamical symmetry for electron Zitterbewegung. Int J Theor Phys 24, 971–981 (1985). https://doi.org/10.1007/BF00670810

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  • DOI: https://doi.org/10.1007/BF00670810

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