  We obtain the geometric phase for states of a particle in a spherical
infinite potential well with a moving wall in two different cases; First, when
the radius of the well increases (or decreases) monotonically. Second, when the
radius changes oscillatory. In the latter case, we have solved the Schrodinger
equation and found its solutions approximately. {We obtain the transition rate
for the possible real situation in an acousto-optic case which can reveal the
effect of the geometric phase. We show that the absorption or radiation peaks
will appear if the energy gap between the incident photon and the modified
energy difference of two levels by the geometric phase, is equal to the integer
multiple of oscillation frequency.
