  We consider the quantum dynamics of a test particle in noncommutative space
under the influence of linearized gravitational waves in the long wave-length
and low-velocity limit. A prescription for quantizing the classical Hamiltonian
for the interaction of gravitational wave with matter in noncommutative space
is proposed. The Hamiltonian (and hence the system) is then exactly solved by
using standard algebraic methods. The solutions show prominent signatures of
the noncommutative nature of space. Computation of the expectation value of the
particle's position reveals the inherent quantum nature of spacetime
noncommutativity.
