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.

Original language	English
Article number	680367
Journal	Advances in Mathematical Physics
DOIs	https://doi.org/10.1155/2011/680367
Publication status	Published - 2011
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)
Applied Mathematics

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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",

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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.

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Relativistic spinning particle without Grassmann variables and the Dirac equation

Abstract

ASJC Scopus subject areas

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