### 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 |
---|---|

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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*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

**Rigid particle revisited : Extrinsic curvature yields the Dirac equation.** / Deriglazov, Alexei; Nersessian, Armen Petrosovich.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 378, no. 18-19, pp. 1224-1227. https://doi.org/10.1016/j.physleta.2014.02.034

}

TY - JOUR

T1 - Rigid particle revisited

T2 - Extrinsic curvature yields the Dirac equation

AU - Deriglazov, Alexei

AU - Nersessian, Armen Petrosovich

PY - 2014/3/28

Y1 - 2014/3/28

N2 - 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.

AB - 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.

KW - Dirac equation

KW - Rigid particles

KW - Semiclassical description of relativistic spin

KW - Theories with constraints

UR - http://www.scopus.com/inward/record.url?scp=84903365369&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84903365369&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2014.02.034

DO - 10.1016/j.physleta.2014.02.034

M3 - Article

VL - 378

SP - 1224

EP - 1227

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 - 18-19

ER -