The formation of magnetic edge states along with corresponding classic
al trajectories is investigated for a magnetic quantum dot with inhomo
geneous distributions of magnetic fields. The magnetic edge states are
found to circulate either clockwise or counterclockwise along the bou
ndary region of the quantum dot, depending on the number of missing fl
ux quanta, and exhibit quite different properties, as compared to the
conventional ones which are induced by electrostatic confinements in t
he quantum Hall system. [S0031-9007(98)05359-9].