The instability of hole-Acoustic waves due to electron beam in semiconductor quantum plasmas is examined using the quantum hydrodynamic model. The quantum effects are considered including Bohm potential, Fermi degenerate pressure, and exchange potential of the semiconductor quantum plasma species. Our model is applied to nano-sized GaAs semiconductor plasmas. The variation of the growth rate of the unstable mode is obtained over a wide range of system parameters. It is found that the thermal effects of semiconductor species have significance over the hole-Acoustic waves.

The dispersion relation for the waves propagating on the surface of a bounded quantum plasma with consideration of electron spin-current and ion-stream is derived and numerically investigated. We have found that one of the real parts of the wave frequency has the branching behavior beyond the instability domains. In such a region where the frequency branching occurs, the waves exhibit purely propagating mode. The resonant instability has also been investigated. We have found that when the phase velocity of the wave is close to the velocity of ion-stream the wave becomes unstable. However, the resonant growth rate is remarkably reduced by the effect of electron spin-current. The growth rate is also decreased by either the reduction of ion-stream velocity or the increase in quantum wavelength. Thus, the quantum effect in terms of the quantum wave number is found to suppress the resonant instability. It is also found that the increase in Fermi energy can reduce the growth rate of the resonant wave in the quantum plasma.

The integral of the kinetic electrostatic surface wave dispersion relation is evaluated to determine the wave frequency and the corresponding Landau damping rate for the surface mode of dust ion-acoustic waves including the effect of ion temperature by using the general perturbation and the transverse truncation methods. It is demonstrated that the increase in ion temperature enhances the wave frequency. The effect of ion temperature is more prominent in the range of large wave numbers, and the wave frequency increases in proportion to a quarter power of the ion temperature in the realm of large wave number. The Landau damping of the dust ion-acoustic surface wave is found to be suppressed as the ion temperature increases. However, the effect of ion temperature becomes negligible as the wave number increases. The effects of dust charge and electron density on the Landau damping rate are also presented in this work.

The physical properties of the Washimi-Karpman ponderomotive magnetization are investigated in relativistically degenerate quantum Fermi-Dirac plasmas including the influence of quantum statistical degeneracy pressure. The induced magnetization and power radiation due to the Washimi-Karpman ponderomotive interaction are obtained in Fermi-Dirac plasmas. It is found that the ponderomotive magnetization decreases with an increase of the relativistic degeneracy parameter. It is also shown that the quantum statistical degeneracy pressure effect is more significant in small frequency and large wave number domains than that in large frequency and small wave number domains. In addition, it is found that the ponderomotive power radiation decreases with an increase of the relativistic degeneracy parameter in Fermi-Dirac plasmas. The variations of the Washimi-Karpman magnetization and power radiation due to the physical characteristics of degenerate quantum Fermi-Dirac plasmas are also discussed.