  We study the energy spectrum of two anyons on the sphere in a constant
magnetic field. Making use of rotational invariance we reduce the energy
eigenvalue equation to a system of linear differential equations for functions
of a single variable, a reduction analogous to separating center of mass and
relative coordinates on the plane. We solve these equations by a generalization
of the Frobenius method and derive numerical results for the energies of
non-analytically derivable states.
