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Algebraic model of a classical non-relativistic electron

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Foundations of Physics Letters

Abstract

An algebraic structure is constructed which serves as an algebraic analog of a phase space for a model of a non-relativistic classical electron. The structure consists of a type of Poisson bracket defined on the tensor product of a commutative algebra and a Grassmann algebra. The equivalent of Hamiltonian dynamics is defined and applied to specific models of an electron. A quantization procedure is introduced which leads to the usual quantum equivalents of the classical models.

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Authors and Affiliations

  1. Department of Mathematics, Applied Mathematics and Astronomy, University of South Africa, P.O. Box 392, 0001, Pretoria, South Africa

    G. C. Sherry

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  1. G. C. Sherry
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Sherry, G.C. Algebraic model of a classical non-relativistic electron. Found Phys Lett 3, 267–283 (1990). https://doi.org/10.1007/BF00666017

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  • DOI: https://doi.org/10.1007/BF00666017

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