Relativistic Spinning Particle without Grassmann Variables and the Dirac Equation
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 th...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/680367 |
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| _version_ | 1832567773155295232 |
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| author | A. A. Deriglazov |
| author_facet | A. A. Deriglazov |
| author_sort | A. A. Deriglazov |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-05e8ecbed6a04cb6bfe22d378db351b4 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-05e8ecbed6a04cb6bfe22d378db351b42025-02-03T01:00:34ZengWileyAdvances in Mathematical Physics1687-91201687-91392011-01-01201110.1155/2011/680367680367Relativistic Spinning Particle without Grassmann Variables and the Dirac EquationA. A. Deriglazov0Departamento de Matematica, Instituto de Ciências Exatas (ICE), Universidade Federal de Juiz de Fora, 36039-900 Juiz de Fora, MG, BrazilWe 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.http://dx.doi.org/10.1155/2011/680367 |
| spellingShingle | A. A. Deriglazov Relativistic Spinning Particle without Grassmann Variables and the Dirac Equation Advances in Mathematical Physics |
| title | Relativistic Spinning Particle without Grassmann Variables and the Dirac Equation |
| title_full | Relativistic Spinning Particle without Grassmann Variables and the Dirac Equation |
| title_fullStr | Relativistic Spinning Particle without Grassmann Variables and the Dirac Equation |
| title_full_unstemmed | Relativistic Spinning Particle without Grassmann Variables and the Dirac Equation |
| title_short | Relativistic Spinning Particle without Grassmann Variables and the Dirac Equation |
| title_sort | relativistic spinning particle without grassmann variables and the dirac equation |
| url | http://dx.doi.org/10.1155/2011/680367 |
| work_keys_str_mv | AT aaderiglazov relativisticspinningparticlewithoutgrassmannvariablesandthediracequation |