### Abstract

We reexamine the model of relativistic particle with higher-derivative linear term on the first extrinsic curvature (rigidity). The passage from classical to quantum theory requires a number of rather unexpected steps which we report here. We found that, contrary to common opinion, quantization of the model in terms of so(3.2)-algebra yields massive Dirac equation.

Original language | English |
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Pages (from-to) | 1224-1227 |

Number of pages | 4 |

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

Volume | 378 |

Issue number | 18-19 |

DOIs | |

Publication status | Published - 28 Mar 2014 |

### Keywords

- Dirac equation
- Rigid particles
- Semiclassical description of relativistic spin
- Theories with constraints

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Deriglazov, A., & Nersessian, A. P. (2014). Rigid particle revisited: Extrinsic curvature yields the Dirac equation.

*Physics Letters, Section A: General, Atomic and Solid State Physics*,*378*(18-19), 1224-1227. https://doi.org/10.1016/j.physleta.2014.02.034