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Classical Behavior of the Dirac Bispinor

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Abstract

It is usually supposed that the Dirac and radiation equations predict that the phase of a fermion will rotate through half the angle through which the fermion is rotated, which means, via the measured dynamical and geometrical phase factors, that the fermion must have a half-integral spin. We demonstrate that this is not the case and that the identical relativistic quantum mechanics can also be derived with the phase of the fermion rotating through the same angle as does the fermion itself. Under spatial rotation and Lorentz transformation the bispinor transforms as a four-vector like the potential and Dirac current. Previous attempts to provide this form of transformational behavior have foundered because a satisfactory current could not be derived.(14)

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Authors and Affiliations

  1. Department of Computer Science I.Q. Group, The University of Liverpool, Chadwick Building, Peach Street, Liverpool, L69 7ZF, United Kingdom

    Sarah B. M. Bell, John P. Cullerne & Bernard M. Diaz

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  1. Sarah B. M. Bell
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  2. John P. Cullerne
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  3. Bernard M. Diaz
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Bell, S.B.M., Cullerne, J.P. & Diaz, B.M. Classical Behavior of the Dirac Bispinor. Foundations of Physics 30, 35–57 (2000). https://doi.org/10.1023/A:1003686924816

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