  We consider the quantum mechanics of a spinless charged particle on a
2-dimensional sphere. When threaded with a magnetic monopole field, this is the
well-known Haldane sphere that furnishes a translationally-invariant,
incompressible quantum fluid state of a gas of electrons confined to the
sphere. This letter presents the results of a novel variant of the Haldane
solution where the monopole field is replaced by that of a dipole. We argue
that this system is relevant to the physics on the surface of compact
astrophysical objects like neutron stars.
