Are Dirac Electrons Faster than Light?

  • G. F. De Angelis
Part of the NATO ASI Series book series (NSSB, volume 144)


The stochastic mechanics of a Dirac particle in 1+1 space-time dimensions with an arbitrary external electromagnetic field was constructed in a previous paper1. The resulting theory is a relativistic extension of Nelson’s stochastic mechanics for a Schrödinger particle2,3. For every normalized solution \( \psi (t,x) = \left[ \begin{gathered} \psi (t,x, + 1) \hfill \\ \psi (t,x, - 1) \hfill \\ \end{gathered} \right] \) of the Dirac equation in 1+1 dimensions there is an associated stochastic process t→ξt such that Prob. \( ({\xi_t} \in A\,and\,{c^{{ - 1}}}{\dot{\xi }_t} = \pm 1) = {\int_A {|\psi (t,x,\pm 1)|}^2}dx \) at any time t and for every measurable subset A of the real line. Each process t→ξt describes a point particle moving along a line with the speed of light c and which inverts its motion at random times tracking a zig-zag path in two dimensional Minkowski space-time. This scenario is reminiscent of Feynman’s path integral description of the Dirac propaga-tor in 1+1 space-time dimensions4.


Dirac Equation Sojourn Time Measurable Subset Dirac Particle External Electromagnetic Field 
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Copyright information

© Plenum Press, New York 1986

Authors and Affiliations

  • G. F. De Angelis
    • 1
    • 2
  1. 1.Dipartimento di FisicaUniversità di SalernoSalernoItaly
  2. 2.INFN Sezione di NapoliItaly

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