  The semiclassical orbitals of a relativistic electron on a rotating sphere
threaded by an intense magnetic dipole field are examined. Several physically
distinct regimes emerge, depending on the relative sizes of the mass, total
energy, canonical azimuthal angular momentum, and magnetic field strength.
Magnetic flux enclosed by orbits is quantized very close to the poles,
suggesting a quantum Hall-like state. Application of this system to neutron
star surfaces is outlined. The semiclassical orbitals of a relativistic
electron on a rotating sphere threaded by an intense magnetic dipole field are
examined. Several physically distinct regimes emerge, depending on the relative
sizes of the mass, total energy, canonical azimuthal angular momentum, and
magnetic field strength. Magnetic flux enclosed by orbits is quantized very
close to the poles, suggesting a quantum Hall-like state. Application of this
system to neutron star surfaces is outlined.
