  The scanning metallic tip of a scanning force microscope was coupled
capacitively to electrons confined in a lithographically defined gate-tunable
quantum dot at a temperature of 300 mK. Single electrons were made to hop on or
off the dot by moving the tip or by changing the tip bias voltage owing to the
Coulomb-blockade effect. Spatial images of conductance resonances map the
interaction potential between the tip and individual electronic quantum dot
states. Under certain conditions this interaction is found to contain a
tip-voltage induced and a tip-voltage independent contribution.
