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 |
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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 journal › Article
}
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 -