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.