Rigid particle revisited: Extrinsic curvature yields the Dirac equation

Alexei Deriglazov, Armen Petrosovich Nersessian

Division for Nuclear-Fuel Cycle

Research output: Contribution to journal › Article

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	https://doi.org/10.1016/j.physleta.2014.02.034
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

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

@article{91e4060ea07c492cbf8818a6c4915688,

title = "Rigid particle revisited: Extrinsic curvature yields the Dirac equation",

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.",

keywords = "Dirac equation, Rigid particles, Semiclassical description of relativistic spin, Theories with constraints",

author = "Alexei Deriglazov and Nersessian, {Armen Petrosovich}",

year = "2014",

month = mar

day = "28",

doi = "10.1016/j.physleta.2014.02.034",

language = "English",

volume = "378",

pages = "1224--1227",

journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",

issn = "0375-9601",

publisher = "Elsevier",

number = "18-19",

}

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

AN - SCOPUS:84903365369

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 -

Access to Document

10.1016/j.physleta.2014.02.034