Abstract
It is shown that high-frequency electrostatic surface waves (SW) could be propagated at right angles to an external magnetic field on the boundary between metal and gaseous plasma due to a finite pressure electron gas in quantum plasma by using the quantum hydrodynamic QHD equations. The dispersion relation for those surface waves in uniform electron plasma is derived under strong external magnetic field. We have shown that the electrostatic surface waves exist also in the frequency for the ranges where electromagnetic SW is impossible. The surface plasma modes are numerically evaluated for the specific case of gold metallic plasma at room temperature. It has been found that dispersion relation of surface modes depends significantly on these quantum effects (Bohm potential and statistical) and should be into account in the case of magnetized or unmagnetized plasma.
Highlights
There has been a great deal of interest in investigating quantum plasma which is characterized by high plasma particle densities and low-temperature, in contrast to classical plasma which has high-temperatures and low particle number densities
We have shown that the electrostatic surface waves exist in the frequency for the ranges where electromagnetic SW is impossible
We have discussed the linear properties of the propagation of high frequency electrostatic surface waves on the boundary between metal and magnetized plasma based on the quantum hydrodynamic model
Summary
There has been a great deal of interest in investigating quantum plasma which is characterized by high plasma particle densities and low-temperature, in contrast to classical plasma which has high-temperatures and low particle number densities. Glenzer et al [13] have experimentally confirmed the collective X-ray scattering of plasmons in solid-density plasmas It has been demonstrated [14] that the bulk (high frequency) electronstatic oscillations can propagate in an underdense quantum plasma due to the quantum mechanical effects (the Bohm potential). Mohamed [16] studied the quantum effects on the propagation of electromagnetic surface waves in magnetized and unmagnetized plasma and got the dispersion relations for TM- (and TE- [17]) polarized surface modes. In this letter, it has been studied the possibility of propagation of electrostatic surface waves on the boundary between a metal and quantum plasma by employing the full set of the quantum hydrodynamic model (QHD). The effect of external magnetic field is taken into account
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