Dielectric response of the charged Bose gas in the random-phase approximation

A closed form for the dielectric function of a charged Bose gas is found in the random phase approximation. This dielectric constant is used to explore the quasiparticle energy spectrum (i.e., the allowed modes of oscillation of the gas), the damping of these quasiparticles, and the long-ranged form of the electrostatic potential around a test charge in the gas. This is done around the three temperature regions of interest; namely, T=0, T=infinity, and T=T/subc/, where T/subc/ is the transition temperature of the gas