Electrostatic Surface Modes Under Exchange-Correlation Effects in Semi-Bounded Quantum Plasma

The excitation of electrostatic high frequency surface waves (SWs), in semi bounded magnetized plasma, is examined using a quantum hydrodynamic (QHD) model. Various quantum effects are taken into account including the recoil effect, Fermi degenerate pressure and exchange-correlation potential. A general analytical expression for dispersion relation is derived using the linearized QHD model in conjunction with Poisson's equation in the presence of a static magnetic field. It is noted that the exchange and correlation effects make to decrease the other effects of quantum (Bohm potential and thermal Fermi) and wave frequency is shifted to lower frequencies. Also, it is found that the group velocities of the modes of small wavelengths are very large with higher quantum effects. But in the case of the long wavelength modes they are higher with small quantum effects. Wide ranges of applications in plasma diagnostics, laser physics and atomic spectroscopy, inertial confinement fusion, solar corona, etc., have made SW's investigation as one of the important quantum research areas.

Automated summary

This study examines the excitation of electrostatic high frequency surface waves (SWs) in semi bounded magnetized plasma using a quantum hydrodynamic (QHD) model. Various quantum effects including recoil effect, Fermi degenerate pressure and exchange-correlation potential are considered. A general analytical expression for the dispersion relation is derived using the linearized QHD model and Poisson's equation in the presence of a static magnetic field. The study finds that exchange and correlation effects decrease the other quantum effects and shift the wave frequency to lower frequencies. It also shows that the group velocities of small wavelength modes are very large with higher quantum effects, while for long wavelength modes they are higher with small quantum effects. The wide range of applications in various fields makes SW investigation an important area of quantum research.