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The dielectric response of the two-dimensional charged Bose gas is investigated in the random-phase approximation. Using this temperature-dependent dielectric function we find the energy spectrum and the damping for the quasiparticles. The electrostatic potential around a test charge at $T=0$ is displayed. We also study the thermodynamic functions of the gas at very low temperatures and high densities.
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Hines et al. (1979) studied this question.
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