  Quantum mechanics allows the emergence of nonstatic quantum light waves in
the Fock state even in a transparent medium of which electromagnetic parameters
do not vary over time. Such wave packets become broad and narrow in turn
periodically in time in the quadrature space. We investigate the effects of
wave nonstaticity arisen in a static environment on the behavior of
accompanying geometric phases in the Fock states. In this case, the geometric
phases appear only when the measure of nonstaticity is not zero and their time
behavior is deeply related to the measure of nonstaticity. While the dynamical
phases undergo linear decrease over time, the geometric phases exhibit somewhat
oscillatory behavior where the center of oscillation linearly increases. In
particular, if the measure of nonstaticity is sufficiently high, the geometric
phases abruptly change whenever the waves become narrow in the quadrature
space. The understanding for the phase evolution of nonstatic light waves is
necessary in their technological applications regarding wave modulations.
