### Abstract

We present the relativistic particle model without Grassmann variables which, being canonically quantized, leads to the Dirac equation. Classical dynamics of the model is in correspondence with the dynamics of mean values of the corresponding operators in the Dirac theory. Classical equations for the spin tensor are the same as those of the Barut-Zanghi model of spinning particle.

Original language | English |
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Article number | 680367 |

Journal | Advances in Mathematical Physics |

DOIs | |

Publication status | Published - 2011 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Applied Mathematics

### Cite this

*Advances in Mathematical Physics*, [680367]. https://doi.org/10.1155/2011/680367

**Relativistic spinning particle without Grassmann variables and the Dirac equation.** / Deriglazov, A. A.

Research output: Contribution to journal › Article

}

TY - JOUR

T1 - Relativistic spinning particle without Grassmann variables and the Dirac equation

AU - Deriglazov, A. A.

PY - 2011

Y1 - 2011

N2 - We present the relativistic particle model without Grassmann variables which, being canonically quantized, leads to the Dirac equation. Classical dynamics of the model is in correspondence with the dynamics of mean values of the corresponding operators in the Dirac theory. Classical equations for the spin tensor are the same as those of the Barut-Zanghi model of spinning particle.

AB - We present the relativistic particle model without Grassmann variables which, being canonically quantized, leads to the Dirac equation. Classical dynamics of the model is in correspondence with the dynamics of mean values of the corresponding operators in the Dirac theory. Classical equations for the spin tensor are the same as those of the Barut-Zanghi model of spinning particle.

UR - http://www.scopus.com/inward/record.url?scp=84855362834&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84855362834&partnerID=8YFLogxK

U2 - 10.1155/2011/680367

DO - 10.1155/2011/680367

M3 - Article

AN - SCOPUS:84855362834

JO - Advances in Mathematical Physics

JF - Advances in Mathematical Physics

SN - 1687-9120

M1 - 680367

ER -