Via a novel interference experiment, which measures magnitude and phas
e of the transmission coefficient through a quantum dot in the Coulomb
regime, we prove directly, for the first time, that transport through
the dot has a coherent component. We find the same phase of the trans
mission coefficient at successive Coulomb peaks, each representing a d
ifferent number of electrons in the dot, however, as we scan through a
single Coulomb peak we find an abrupt phase change of pi. The abrupt
phase change can be explained in the framework of a one-dimensional mo
del, which we develop.