By applying the time-independent unitary transformation, the time-dependent
Landau system perturbed by an inverse square potential, is transformed int
o a product of a time-independent perturbed Landau system's Hamiltonian and
a factor only depending on time, which can be solved exactly. At the perio
dical time-dependent case, the non-adiabatic Berry's phase is also presente
d. (C) 2000 Elsevier Science B.V. All rights reserved.