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Casimir friction between a polarizable particle and a semi-infinite space isa delicate physical phenomenon, as it concerns the interaction between amicroscopic quantum particle and a semi-infinite reservoir. Not unexpectedly,results obtained in the past about the friction force obtained via differentroutes are sometimes, at least apparently, wildly different from each other.  Recently, we considered the Casimir friction force for two dielectricsemi-infinite plates moving parallel to each other [J. S. H{\o}ye and I.Brevik, Eur. Phys. J. D {\bf 68}, 61 (2014)], and managed to get essentialagreement with results obtained by Pendry (1997), Volokitin and Persson (2007),and Barton (2011). Our method was based upon use of the Kubo formalism. In thepresent paper we focus on the interaction between a polarizable particle and adielectric half-space again, and calculate the friction force using the samebasic method as before. The new ingredient in the present analysis is that wetake into account radiative damping, and derive the modifications thereof. Somecomparisons are also made with works from others. Essential agreement with theresults of Intravaia, Behunin, and Dalvit can also be achieved using themodification of the atomic polarizability by the metallic plate.

Casimir Friction Between Polarizable Particle and Half-Space with Radiation Damping and Image Damping at Zero Temperature