Dispersive characteristics of electromagnetic sound waves with frequencies less than the electron and ion gyro-frequencies are studied herein analytically and numerically at astrophysical scales. Magnetic quantization of Fermi states is concerned with the degenerate relativistic electrons fluid treated by quantum hydrodynamic model (QHD). The quantum features are included from Landau quantized Fermi pressure dependent upon the dc magnetic field, whereas the ions are treated as nondegenerate and classical. The numerical analysis verifies the analytical results. The phase speed of magnetosonic waves for relativistic degenerate plasma typically for white dwarf stars parameters is depicted from the graphical figures. In this manuscript, an overlooked feature of quantization, that is Landau quantization, is mainly focused for magnetoacoustics in plasmas.

中文翻译：

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相对论等离子体中费米态的磁声学和磁量子化

本文在天体物理尺度上分析和数值研究了频率小于电子和离子陀螺仪频率的电磁声波的色散特性。费米态的磁量子化涉及量子流体动力学模型（QHD）处理的简并相对论电子流体。量子特征包括来自依赖于直流磁场的朗道量子化费米压力，而离子被视为非简并和经典。数值分析验证了分析结果。图中描绘了通常用于白矮星参数的相对论简并等离子体的磁声波的相速度。在这份手稿中，量化的一个被忽视的特征，即朗道量化，主要关注等离子体中的磁声学。