The dynamical image interaction between a moving charge and a spatially dispersive medium has been evaluated as well as the Van der Waals dispersion energy between a dipole and the same substrate. The spatially dispersive medium is represented by the 'infinite barrier' model with specular reflection of current fluctuations at the interface. Numerical estimates of the effect are computed using a hydrodynamic model for the dielectric permittivity.
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Chan et al. (1976) studied this question.
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