  Shielding effects in non-degenerate and degenerate plasmas are compared. A
detailed derivation of the Wigner-Poisson system is provided for electrostatic
quantum plasmas where relativistic, spin and collisional effects are not
essential. Later a detailed derivation of a quantum hydrodynamic model starting
from the Wigner-Poisson system is shown. The route for this derivation
considers the eikonal decomposition of the one-body wavefunctions of the
quantum statistical mixture. The merits and limitations of the resulting
quantum hydrodynamic model are discussed.
