Plasma physics deals with the collective interaction of charged particles, and processes related to such. However, there are physical parameter domains where quantum mechanics and plasma physics needs to be taken into account simultaneously, e.g. dense and / or hot astrophysical plasma. Thus, there is interest and application for a model taking both collective charge particle effects and quantum phenomena into account. Also, the propagation of the waves (surface, polarized, ..etc) inside the quantum plasmas should be studied due to its central role in the performance and design of the novel microelectronic devices and laser solid interaction.