### Abstract

We construct a non-Grassmann spinning-particle model which, by analogy with quantum mechanics, does not admit the notion of a trajectory within the position space. The pseudo-classical character of the model allows us to avoid the inconsistencies arising in the quantum-mechanical interpretation of a one-particle sector of the Dirac equation.

Original language | English |
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Pages (from-to) | 13-17 |

Number of pages | 5 |

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

Volume | 377 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 3 Dec 2012 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

**Classical-mechanical models without observable trajectories and the Dirac electron.** / Deriglazov, A. A.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 377, no. 1-2, pp. 13-17. https://doi.org/10.1016/j.physleta.2012.11.024

}

TY - JOUR

T1 - Classical-mechanical models without observable trajectories and the Dirac electron

AU - Deriglazov, A. A.

PY - 2012/12/3

Y1 - 2012/12/3

N2 - We construct a non-Grassmann spinning-particle model which, by analogy with quantum mechanics, does not admit the notion of a trajectory within the position space. The pseudo-classical character of the model allows us to avoid the inconsistencies arising in the quantum-mechanical interpretation of a one-particle sector of the Dirac equation.

AB - We construct a non-Grassmann spinning-particle model which, by analogy with quantum mechanics, does not admit the notion of a trajectory within the position space. The pseudo-classical character of the model allows us to avoid the inconsistencies arising in the quantum-mechanical interpretation of a one-particle sector of the Dirac equation.

KW - Dirac equation

KW - Semiclassical description of relativistic spin

KW - Theories with constraints

UR - http://www.scopus.com/inward/record.url?scp=84870053830&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84870053830&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2012.11.024

DO - 10.1016/j.physleta.2012.11.024

M3 - Article

AN - SCOPUS:84870053830

VL - 377

SP - 13

EP - 17

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 - 1-2

ER -