Abstract
We demonstrate how the (1+1)-dimensional Dirac equation can be derived from the equation for the probability distribution governing a stochastic process when particles are permitted to propagate both backwards and forwards in time. This derivation uses a real transfer matrix and does not require a formal analytic continuation from classical physics. The physical significance of the quantity we interpret as being the “wave function” is discussed.
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McKeon, D.G.C., Ord, G.N. On how the (1+1)-dimensional Dirac equation arises in classical physics. Found Phys Lett 9, 447–456 (1996). https://doi.org/10.1007/BF02190048
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DOI: https://doi.org/10.1007/BF02190048