Abstract
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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References
Feynman, R. P. (1948).Physical Review,74, 939–946.
Feynman, R. P., and Hibbs, A. R. (1965).Quantum Mechanics and Path Integrals, McGraw-Hill, New York.
Gersch, H. A. (1981).International Journal of Theoretical Physics,20, 491–501.
Jacobson, T., and Schulman, L. S. (1984).Journal of Physics A,17, 375–383.
Ord, G. N. (1992).Journal of Statistical Physics,66, 647–659.
Schweber, S. (1986).Review of Modern Physics,58, 449.
Stuckelberg, E. C. G. (1942).Helvetica Physica Acta,15, 23.
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Ord, G.N. Classical analog of quantum phase. Int J Theor Phys 31, 1177–1195 (1992). https://doi.org/10.1007/BF00673919
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DOI: https://doi.org/10.1007/BF00673919