1106.5228 (A. A. Deriglazov)

Spinning-particle model for the Dirac equation and the relativistic
Zitterbewegung    [PDF]

A. A. Deriglazov

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.

View original: http://arxiv.org/abs/1106.5228