Classical analog of quantum phase
- G. N. Ord
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A modified version of the Feynman relativistic chessboard model (FCM) is investigated in which the paths involved are spirals in space-time. Portions of the paths in which the particle's proper time is reversed are interpreted in terms of antiparticles. With this interpretation the particle-antiparticle field produced by such trajectories provides a classical analog of the phase associated with particle paths in the unmodified FCM. It is shown that in the nonrelativistic limit the resulting kernel is the correct Dirac propagator and that particle-antiparticle symmetry is in this case responsible for quantum interference.
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- Classical analog of quantum phase
International Journal of Theoretical Physics
Volume 31, Issue 7 , pp 1177-1195
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- Kluwer Academic Publishers-Plenum Publishers
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- G. N. Ord (1)
- Author Affiliations
- 1. Department of Applied Mathematics, University of Western Ontario, N6A 5B9, London, Ontario, Canada