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Using the formalism of the conditional amplitude, we study the response partof the exchange-correlation potential in the strong-coupling limit of densityfunctional theory, analysing its peculiar features and comparing it with theresponse potential averaged over the coupling constant for small atoms and forthe hydrogen molecule. We also use a simple one-dimensional model of astretched heteronuclear molecule to derive exact properties of the responsepotential in the strong-coupling limit. The simplicity of the model allows usto unveil relevant features also of the exact Kohn-Sham potential and itsdifferent components, namely the appearance of a second peak in the correlationkinetic potential on the side of the most electronegative atom.

Response potential in the strong-interaction limit of DFT: Analysis and comparison with the coupling-constant average