Present paper studies the contribution of both the quantum effect and the dust size distribution effect on the shock wave characters. It is concluded that the quantum effect of dust particles is negligible, while the quantum effects of both electrons and ions on the shock wave of a quantum dusty plasma cannot be neglected in certain cases. It is found that the speed and the amplitude of the shock wave, considering the dust size distribution, are larger than that of the quantum dusty plasma with the average dust size of a monosized dust plasma. Furthermore, the speed and the amplitude of the shock wave increase, while the width of the shock wave decreases as the ratios of the maximum dust size to the minimum one increases. The quantum effects may affect both the amplitude and width of the shock wave, while it has no effect on the shock wave speed. The width of the shock wave increases, while its amplitude decreases as \(H_e\) and \(H_i\) increase.

本论文研究了量子效应和粉尘粒度分布效应对冲击波特性的贡献。结论是尘埃粒子的量子效应可以忽略不计，而电子和离子对量子尘埃等离子体激波的量子效应在某些情况下不能忽略。研究发现，考虑到尘埃尺寸分布，冲击波的速度和幅度大于具有单尺寸尘埃等离子体平均尘埃尺寸的量子尘埃等离子体。此外，冲击波的速度和幅度增加，而冲击波的宽度随着最大粉尘尺寸与最小粉尘尺寸之比的增加而减小。量子效应可能影响冲击波的幅度和宽度，而对冲击波速度没有影响。\(H_e\)和\(H_i\)增加。