dorsal/arxiv
View SchemaKinetic theory of QED plasmas in a strong electromagnetic field. II. The mean-field description
| Authors | A. Hoell, V. Morozov, G. Roepke |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106004 |
| URL | https://arxiv.org/abs/quant-ph/0106004 |
| Journal | Theor.Math.Phys. 132 (2002) 1029-1042; Teor.Mat.Fiz. 132 (2002) 161-174 |
Abstract
Starting from a general relativistic kinetic equation, a self-consistent mean-field equation for fermions is derived within a covariant density matrix approach of QED plasmas in strong external fields. A Schr\"odinger picture formulation on space-like hyperplanes is applied. The evolution of the distribution function is described by the one-particle gauge-invariant 4x4 Wigner matrix, which is decomposed in spinor space. A coupled system of equations for the corresponding Wigner components is obtained. The polarization current is expressed in terms of the Wigner function. Charge conservation is obeyed. In the quasi-classical limit for the Wigner components a relativistic Vlasov equation is obtained, which is presented in an invariant, i.e. hyperplane independent, form.
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"abstract": "Starting from a general relativistic kinetic equation, a self-consistent\nmean-field equation for fermions is derived within a covariant density matrix\napproach of QED plasmas in strong external fields. A Schr\\\"odinger picture\nformulation on space-like hyperplanes is applied. The evolution of the\ndistribution function is described by the one-particle gauge-invariant 4x4\nWigner matrix, which is decomposed in spinor space. A coupled system of\nequations for the corresponding Wigner components is obtained. The polarization\ncurrent is expressed in terms of the Wigner function. Charge conservation is\nobeyed. In the quasi-classical limit for the Wigner components a relativistic\nVlasov equation is obtained, which is presented in an invariant, i.e.\nhyperplane independent, form.",
"arxiv_id": "quant-ph/0106004",
"authors": [
"A. Hoell",
"V. Morozov",
"G. Roepke"
],
"categories": [
"quant-ph",
"hep-th",
"physics.plasm-ph"
],
"journal_ref": "Theor.Math.Phys. 132 (2002) 1029-1042; Teor.Mat.Fiz. 132 (2002)\n 161-174",
"title": "Kinetic theory of QED plasmas in a strong electromagnetic field. II. The mean-field description",
"url": "https://arxiv.org/abs/quant-ph/0106004"
},
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