Relativistic electrons on a rotating spherical magnetic dipole: Surface orbitals

The semiclassical orbitals of a relativistic electron on a rotating sphere threaded by an intense magnetic dipole field are examined. Several physical ly distinct regimes emerge, depending on the relative sizes of the mass, to tal energy, canonical azimuthal angular momentum, and magnetic field streng th. 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.