  We have derived an exact expression for the total nondissipative transverse
force acting on a quantized vortex moving in a uniform background. The
derivation is valid for neutral boson or fermion superfluids, provided the
order parameter is a complex scalar quantity. This force is determined by the
one-particle density matrix far away from the vortex core, and is found to be
the Magnus force proportional to the superfluid density. We conclude that
contributions of the localized core states do not change this force.
