The propagation characteristics of linear waves in high-energy-density magnetoplasmas are investigated using a relativistic magnetohydrodynamic model based on the framework of relativistic quantum theory. Based on the covariant Wigner function approach, a relativistic quantum magnetohydrodynamic model is established. Starting from the relativistic quantum magnetohydrodynamic equations and the Maxwell equations, the dispersion equation for relativistic quantum magnetoplasmas is derived. The contributions of both quantum effects and relativistic effects are shown in the dispersion relations for perpendicular, parallel propagation with respect to a background magnetic field. Results show that the corrections of both quantum effects and relativistic effects are significant when choosing the plasma parameters of laser-based plasma compression schemes.

中文翻译：

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使用相对论量子磁流体动力学模型在高能量密度磁等离子体中传播线性波

使用基于相对论量子理论框架的相对论磁流体动力学模型研究线性波在高能量密度磁等离子体中的传播特性。基于协变Wigner函数方法，建立了相对论量子磁流体动力学模型。从相对论量子磁流体动力学方程和麦克斯韦方程出发，推导出相对论量子磁等离子体的色散方程。量子效应和相对论效应的贡献显示在相对于背景磁场垂直、平行传播的色散关系中。结果表明，在选择基于激光的等离子体压缩方案的等离子体参数时，量子效应和相对论效应的校正均具有重要意义。