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Stochastic mechanics of a Dirac particle in two spacetime dimensions. (English) Zbl 0615.60076
We develop the stochastic mechanics of a Dirac particle interacting with an arbitrary external electromagnetic field in two-dimensional Minkowski space. Our construction provides a consistent stochastic interpretation of solutions of the true (real time) Dirac equation and, in particular, gives a stochastic description of the zitterbewegung.

MSC:
60J70 Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.)
81P20 Stochastic mechanics (including stochastic electrodynamics)
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