Abstract
For years no probabilistic treatment of time evolution of a particle whose wave function has multicomponents has been available. Compared with the scalar non relativistic situation where the Feynman-Kac formula provided a quite strong tool to study the problem, very few results concerning for instance the Dirac equation were known. However long time ago Feynman and Hibbs [1] mentioned that the free Dirac equation in two space time dimensions allowed for a probabilistic treatment. Also there has been some works by Riazanov [2], Rosen [3] and Daleskii [4], [5].
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Blanchard, P., Combe, P., Sirugue, M., Sirugue-Collin, M. (1990). The Zitterbewegung of a Dirac Electron in a Central Field. In: Albeverio, S., Streit, L., Blanchard, P. (eds) Stochastic Processes and their Applications. Mathematics and Its Applications (Soviet Series), vol 61. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2117-7_3
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DOI: https://doi.org/10.1007/978-94-009-2117-7_3
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