Theoretical study of the surface waves in semi-bounded quantum collisional plasmas

The propagation of surface waves on a semi-bounded quantum plasma is investigated taking into account the collisional effects. The quantum hydrodynamic model includes Bohm's quantum force, Fermi-Dirac statistical, and collisional corrections are used to derive the dispersion relation of these waves. It is shown that the collisions play a significant role on the decay of surface wave amplitude. Furthermore, the surface waves can be unstable in the presence of collisional effects. It is also indicated that the growth rate of the surface wave instability increases with the increase of collisional and quantum effects, especially in the high wavenumber region.