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{field, particle, equation} |
{group, space, representation} |
{temperature, thermal, energy} |
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Kinetic theory of QED plasmas in a strong electromagnetic field. II. The
mean-field description
A. Hoell, V. Morozov, G. Roepke
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0106004
- categories:
- quant-ph hep-th physics.plasm-ph
- comments:
- 22 pages Latex
- arxiv_id:
- quant-ph/0106004
- journal_ref:
- Theor.Math.Phys. 132 (2002) 1029-1042; Teor.Mat.Fiz. 132 (2002)
161-174
- created:
- 2001-06-01
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