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Exact symplectic structures and a classical model for the Dirac electron

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Abstract

We show how the classical model for the Dirac electron of Barut and coworkers can be obtained as a Hamiltonian theory by constructing an exact symplectic form on the total space of the spin bundle over spacetime.

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References

  1. Barut, A. O. and Pavšič, M., Classical Quantum Gravity 4, L41-L45 (1987).

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  2. Barut, A. O. and Zanghi, N., Phys. Rev. Lett. 52, 2009–2012 (1984).

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  1. John Rawnsley

    Present address: Mathematics Institute, University of Warwick, CV4 7AL, Coventry, United Kingdom

Authors and Affiliations

  1. Département de Mathématiques, Université de Metz, Ile du Lauley, F-57000, Metz, France

    John Rawnsley

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  1. John Rawnsley
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Rawnsley, J. Exact symplectic structures and a classical model for the Dirac electron. Lett Math Phys 24, 331–336 (1992). https://doi.org/10.1007/BF00420492

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  • DOI: https://doi.org/10.1007/BF00420492

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