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arXiv quant-ph/0106004quant-phhep-thphysics.plasm-ph
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强电磁场中QED等离子体的动力学理论。II。平均场描述

Kinetic theory of QED plasmas in a strong electromagnetic field. II. The mean-field description

A. Hoell, V. Morozov, G. Roepke

摘要:

本文从广义相对论动力学方程出发,采用协变密度矩阵方法导出了强外场中QED等离子体的费米子自洽平均场方程。一个薛定谔图片制定类空超平面。分布函数的演化由在旋量空间中分解的单粒子规范不变的4x4维格纳矩阵描述。相应的维格纳分量的耦合系统的方程得到。极化电流用维格纳函数表示。遵守电荷守恒。在Wigner分量的准经典极限下,得到了一个相对论性的Vlasov方程,它是以不变的形式表示的,即与超平面无关的形式。

英文摘要:

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 Schrödinger 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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