Relativistic spinning particle without Grassmann variables and the Dirac equation

A. A. Deriglazov

Research output: Contribution to journalArticle

Abstract

We present the relativistic particle model without Grassmann variables which, being canonically quantized, leads to the Dirac equation. Classical dynamics of the model is in correspondence with the dynamics of mean values of the corresponding operators in the Dirac theory. Classical equations for the spin tensor are the same as those of the Barut-Zanghi model of spinning particle.

Original languageEnglish
Article number680367
JournalAdvances in Mathematical Physics
DOIs
Publication statusPublished - 2011
Externally publishedYes

Fingerprint

Dirac Equation
Dirac equation
metal spinning
relativistic particles
Mean Value
Paul Adrien Maurice Dirac
Tensors
Correspondence
Tensor
Model
tensors
operators
Operator

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Relativistic spinning particle without Grassmann variables and the Dirac equation. / Deriglazov, A. A.

In: Advances in Mathematical Physics, 2011.

Research output: Contribution to journalArticle

@article{6a1717cd0a4e44aa8d5c7f53a6b7ad48,
title = "Relativistic spinning particle without Grassmann variables and the Dirac equation",
abstract = "We present the relativistic particle model without Grassmann variables which, being canonically quantized, leads to the Dirac equation. Classical dynamics of the model is in correspondence with the dynamics of mean values of the corresponding operators in the Dirac theory. Classical equations for the spin tensor are the same as those of the Barut-Zanghi model of spinning particle.",
author = "Deriglazov, {A. A.}",
year = "2011",
doi = "10.1155/2011/680367",
language = "English",
journal = "Advances in Mathematical Physics",
issn = "1687-9120",
publisher = "Hindawi Publishing Corporation",

}

TY - JOUR

T1 - Relativistic spinning particle without Grassmann variables and the Dirac equation

AU - Deriglazov, A. A.

PY - 2011

Y1 - 2011

N2 - We present the relativistic particle model without Grassmann variables which, being canonically quantized, leads to the Dirac equation. Classical dynamics of the model is in correspondence with the dynamics of mean values of the corresponding operators in the Dirac theory. Classical equations for the spin tensor are the same as those of the Barut-Zanghi model of spinning particle.

AB - We present the relativistic particle model without Grassmann variables which, being canonically quantized, leads to the Dirac equation. Classical dynamics of the model is in correspondence with the dynamics of mean values of the corresponding operators in the Dirac theory. Classical equations for the spin tensor are the same as those of the Barut-Zanghi model of spinning particle.

UR - http://www.scopus.com/inward/record.url?scp=84855362834&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84855362834&partnerID=8YFLogxK

U2 - 10.1155/2011/680367

DO - 10.1155/2011/680367

M3 - Article

JO - Advances in Mathematical Physics

JF - Advances in Mathematical Physics

SN - 1687-9120

M1 - 680367

ER -