The propagation of extraordinary and upper-hybrid waves in spin quantum magnetoplasmas with vacuum polarization effect is investigated. Based on the quantum magnetohydrodynamics model including Bohm potential, arbitrary relativistic degeneracy pressure and spin force, and Maxwell's equations modified by the spin current and vacuum polarization current, the dispersion relations of extraordinary and upper-hybrid waves are derived. The analytical and numerical results show that quantum effects (Bohm potential, degeneracy pressure and spin magnetization energy) and the vacuum polarization effect modify the propagation of the extraordinary wave. Under the action of a strong magnetic field, the plasma frequency is obviously increased by the vacuum polarization effect.

中文翻译：

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具有真空极化效应的自旋量子磁浆中的异常波和上杂波

研究了具有真空极化效应的自旋量子磁等离子体中异常波和上杂波的传播。基于包含玻姆势、任意相对论简并压力和自旋力的量子磁流体动力学模型，以及由自旋电流和真空极化电流修正的麦克斯韦方程组，推导了异常波和上杂波的色散关系。分析和数值结果表明，量子效应（玻姆势、简并压力和自旋磁化能）和真空极化效应改变了异常波的传播。在强磁场作用下，真空极化效应明显提高了等离子体频率。