### Abstract

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 Zitterbewegung, represents a gauge non-invariant variable in our model. Hence our particle does not experience the undesirable Zitterbewegung. C) In the non-relativistic limit spin is described by three-vector, as it could be expected.

Original language | English |
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Pages (from-to) | 309-313 |

Number of pages | 5 |

Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |

Volume | 376 |

Issue number | 4 |

DOIs | |

Publication status | Published - 9 Jan 2012 |

Externally published | Yes |

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### Keywords

- Dirac equation
- Semiclassical description of relativistic spin
- Theories with constraints
- Zitterbewegung

### ASJC Scopus subject areas

- Physics and Astronomy(all)