dorsal/arxiv
View SchemaDirac's Quantization of Maxwell's Theory on Non-Commutative Spaces
| Authors | S. I. Kruglov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204137 |
| URL | https://arxiv.org/abs/quant-ph/0204137 |
| Journal | Electromagn.Phenom. 3 (2003) 18-24 |
Abstract
Dirac's quantization of the Maxwell theory on non-commutative spaces has been considered. First class constraints were found which are the same as in classical electrodynamics. The gauge covariant quantization of the non-linear equations of electromagnetic fields on non-commutative spaces were studied. We have found the extended Hamiltonian which leads to equations of motion in the most general gauge covariant form. As a special case, the gauge fixing approach on the basis of Dirac's brackets has been investigated. The problem of the construction of the wave function and physical observables have been discussed.
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"abstract": "Dirac\u0027s quantization of the Maxwell theory on non-commutative spaces has been\nconsidered. First class constraints were found which are the same as in\nclassical electrodynamics. The gauge covariant quantization of the non-linear\nequations of electromagnetic fields on non-commutative spaces were studied. We\nhave found the extended Hamiltonian which leads to equations of motion in the\nmost general gauge covariant form. As a special case, the gauge fixing approach\non the basis of Dirac\u0027s brackets has been investigated. The problem of the\nconstruction of the wave function and physical observables have been discussed.",
"arxiv_id": "quant-ph/0204137",
"authors": [
"S. I. Kruglov"
],
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"journal_ref": "Electromagn.Phenom. 3 (2003) 18-24",
"title": "Dirac\u0027s Quantization of Maxwell\u0027s Theory on Non-Commutative Spaces",
"url": "https://arxiv.org/abs/quant-ph/0204137"
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