Results of a previous article with the same title are retrieved by a different method. A one-component plasma is bounded by a plane surface. The plasma is fully coupled to the electromagnetic field, therefore the charge correlations are retarded. The quantum correlation function of the surface charge densities, at times different by t, at asymptotical large distances R, at inverse temperature β, decays as -1/(8π^2β R^3), a surprisingly simple result: the decay is independent of Planck's

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... ħ and of the time difference t. The present paper is based on the analysis of the collective vibration modes of the system.