Quantum effects on the propagation of surface waves in magnetized plasma

The quantum effects on the propagation of surface waves is investigated in semi-bounded magnetized quantum plasmas. The results show that surface oscillations can be propagated due to quantum effects. It is also shown that these quantum effects enhance the propagation velocity. For this purpose, the quantum hydrodynamic (QHD) equations with a magnetic field, using Maxwell's equations, are used to derive the dispersion relations of transverse electromagnetic surface modes (E-modes). The QHD includes quantum forces involving Fermi electron temperature and quantum Bohm potential. It is found that the external magnetic field which is parallel to the propagation waves has a stronger effect on wave decay in our model than in the classical regime. Beside that, the quantum effects enhance the propagation velocity of these waves.