  It is well known that Chern-Simons Theories are in the constrained systems
and their total Hamiltonians become identically zero, because of their gauge
invariance. While treating the constraints quantum mechanially, it will be
expected taht there remain the quantum fluctuations due to the uncertainty
principle. Using the projection operator method (POM) and the theory of
dynamical constraints, such fluctuation terms are systematically derived in the
case of Abelian Chern-Simons theory. It is shown that these terms produce the
effective mass in the complex scalar fields coupled to the CS fields.
