  We study some basic and interesting quantum mechanical systems in dynamical
noncommutative spaces in which the space- space commutation relations are
position dependent. It is observed that the fundamental objects in the
dynamical noncommutative space introduced here are stringlike. We show that the
Stark effect can be employed to determine whether the noncommutativity of space
is dynamical or non-dynamical. It appears that unlike non-dynamical case there
is a fundamental energy $\dfrac{\tau\hbar^{2}}{m}$ in this dynamical space.}
