Low beta plasma system is chosen for the study of low frequency electromagnetic Shear Alfvén waves exhibiting dynamical charging of micron/sub micron size dust particles. A semi classical Quantum Hydrodynamic Model (QHD) is employed which includes the quantum effects for plasma electrons in the terms of statistical degenerate pressure, Landau quantization, exchange-correlation potential, and tunneling potential. The low beta plasma characteristics provides the opportunity for the usage of two potential theory in order to derive a complex equation of dispersion of the shear Alfvén wave in quantum dusty magneto plasmas. Analytical simplification of dispersion equation provides the damping rate of the Shear Alfvén wave which is verified graphically for a typical set of parameters. It is noticed that the damping rate depends upon the quantum properties of Landau quantization, exchange-correlation, and tunneling potential in addition to the dust radius which modifies the floating potential of the dust particles. This work may seek its applications in the astrophysical objects in general, and in the semiconductor laboratory plasmas for particular dust size and magnetic field.

中文翻译：

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低$\beta $等离子体中电磁波的动态充电效应

低 β 等离子体系统被选择用于研究表现出微米/亚微米尺寸灰尘颗粒动态充电的低频电磁剪切阿尔芬波。采用半经典量子流体动力学模型 (QHD)，其中包括在统计简并压力、朗道量子化、交换相关电位和隧道电位方面的等离子体电子的量子效应。低 β 等离子体特性为使用两个势理论提供了机会，以推导出量子尘埃磁等离子体中剪切阿尔文波的复杂色散方程。色散方程的分析简化提供了剪切阿尔文波的阻尼率，该阻尼率已针对一组典型参数进行了图形验证。值得注意的是，阻尼率取决于兰道量子化的量子特性、交换相关性和隧穿势，以及改变尘埃粒子漂浮势的尘埃半径。这项工作可能会在一般的天体物理物体以及半导体实验室等离子体中寻求其在特定尘埃大小和磁场中的应用。