### 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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Spinning-particle model for the Dirac equation and the relativistic Zitterbewegung.** / Deriglazov, A. A.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 376, no. 4, pp. 309-313. https://doi.org/10.1016/j.physleta.2011.10.070

}

TY - JOUR

T1 - Spinning-particle model for the Dirac equation and the relativistic Zitterbewegung

AU - Deriglazov, A. A.

PY - 2012/1/9

Y1 - 2012/1/9

N2 - 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.

AB - 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.

KW - Dirac equation

KW - Semiclassical description of relativistic spin

KW - Theories with constraints

KW - Zitterbewegung

UR - http://www.scopus.com/inward/record.url?scp=84855196828&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84855196828&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2011.10.070

DO - 10.1016/j.physleta.2011.10.070

M3 - Article

VL - 376

SP - 309

EP - 313

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 4

ER -