  We consider a particle moving on a 2-sphere in the presence of a constant
magnetic field. Building on earlier work in the nonmagnetic case, we construct
coherent states for this system. The coherent states are labeled by points in
the associated phase space, the (co)tangent bundle of S^2. They are constructed
as eigenvectors for certain annihilation operators and expressed in terms of a
certain heat kernel. These coherent states are not of Perelomov type, but
rather are constructed according to the "complexifier" approach of T. Thiemann.
We describe the Segal--Bargmann representation associated to the coherent
states, which is equivalent to a resolution of the identity.
