Rigid particle revisited

Extrinsic curvature yields the Dirac equation

Alexei Deriglazov, Armen Petrosovich Nersessian

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 languageEnglish
Pages (from-to)1224-1227
Number of pages4
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume378
Issue number18-19
DOIs
Publication statusPublished - 28 Mar 2014

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Dirac equation
curvature
relativistic particles
rigidity
quantum theory
algebra

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

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

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 378, No. 18-19, 28.03.2014, p. 1224-1227.

Research output: Contribution to journalArticle

Deriglazov, Alexei ; Nersessian, Armen Petrosovich. / Rigid particle revisited : Extrinsic curvature yields the Dirac equation. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2014 ; Vol. 378, No. 18-19. pp. 1224-1227.
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