  For the numerical simulation of the fractional quantum Hall effects on a
finite disk, the rotational symmetry is the only symmetry that were used in
diagonalizing the Hamiltonian. In this work, we propose a method of using the
weak translational symmetry for the center of mass of the many-body system.
With this approach, the bulk properties , such as the energy gap and the
magneto-roton excitation are exactly consistent with that in the closed
manifold like sphere and torus. As an application, we consider the FQH phase
and its phase transition in the fast rotated dipolar fermions. We thus weapon
the disk geometry versatility in analyzing the bulk properties beside the usual
edge physics.
