Spinning-particle model for the Dirac equation and the relativistic Zitterbewegung

Details Spinning-particle model for the Dirac equation and the relativistic Zitterbewegung Spinning-particle model for the Dirac equation and the relativistic Zitterbewegung

2011-06-26

arxiv.org/abs/1106.5228v3

Phys. Lett. A 376 (2012) 309-313

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, misprints corrected

Scientific paper

We construct the relativistic particle model without Grassmann variables which meets the following requirements. A) Canonical quantization of the model implies the Dirac equation. B) The variable which experiences {\it Zitterbewegung}, represents a gauge non-invariant variable in our model. Hence our particle does not experiences the undesirable {\it Zitterbewegung}. C) In the nonrelativistic limit spin is described by three-vector, as it could be expected.

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