This paper presents the results of optical interferometry experiments ill w
hich the phase of photons ill one arm of a Mach-Zehnder interferometer is m
odified by applying a transverse constriction. An equivalent quanthum inter
ferometry experiment ment using neutron, de Broglie waves is discussed in w
hich the observed;phase shift is in the spirit of the force-free phase shif
t of rile Aharonov-Bohm effects. In the optical experiments the experimenta
l, results are in excellent agreement with predictions.