The controversy about whether or not an inelastically scattered electron wa
ve can still interfere with a reference wave is solved by treating the whol
e problem rigorously and describing electron, source and object in one Hami
ltonian. It turns out that, in principle, interference can occur between an
inelastically scattered wave and a reference wave from the incident beam s
pectrum provided the energy difference is smaller than about 10(-15) eV. Ho
wever, it is argued that the density of states in source object and electro
n wave is much too small to make this effect observable. (C) 2000 Published
by Elsevier Science B.V. All rights reserved.