Hydrodynamic response in finite multi-component plasmas

A semi-classical approach is taken to the problem of plasmas in solids, using hydrodynamic constitutive equations plus standard electromagnetic theory. The plasmas considered are bounded by surfaces, which are modeled by discontinuous boundaries at which the hydrodynamic variables satisfy certain boundary conditions. The response of these plasmas to an external perturbation is obtained, and then related to the quantum correlations associated with the quantized normal modes of the system--plasmons--via Van Hove's method. A technique is derived for generating the various material parameters which enter into the plasma constitutive equations from microscopic considerations. Some discussion is given of applications to electron and Raman scattering