0106004v1

related topics
{field, particle, equation}
{group, space, representation}
{temperature, thermal, energy}
{equation, function, exp}
{operator, operators, space}
{time, wave, function}
{energy, gaussian, time}
{photon, photons, single}
{information, entropy, channel}
{trap, ion, state}
{states, state, optimal}

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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