  In this thesis, we investigate the dynamical Casimir effect, the creation of
particles from vacuum by dynamical boundary conditions or dynamical background,
and its backreaction to the motion of the boundary. The backreaction of
particle creation to the boundary motion is studied using quantum field theory
in curved spacetime technique, in 1+1 dimension and 3+1 dimension. The relevant
quantities in these quantum field processes are carefully analyzed, including
regularization of the UV and IR divergent of vacuum energy, and estimation of
classical backreaction effects like radiation pressure. We recovered the
qualitative result of backreaction in 1+1 dimensions. In the 3+1 dimension, we
find that the backreaction tends to slow down the system to suppress the
further particle creation, similar to the case of cosmological particle
creation.
