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Advances in Mathematical Physics
Volume 2011 (2011), Article ID 680367, 10 pages
http://dx.doi.org/10.1155/2011/680367
Research Article

Relativistic Spinning Particle without Grassmann Variables and the Dirac Equation

Departamento de Matematica, Instituto de Ciências Exatas (ICE), Universidade Federal de Juiz de Fora, 36039-900 Juiz de Fora, MG, Brazil

Received 31 March 2011; Revised 30 July 2011; Accepted 23 August 2011

Academic Editor: Stephen Anco

Copyright © 2011 A. A. Deriglazov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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.