Abstract (Elsevier)
The dynamics of two non-relativistic BPS monopoles is described using the Atiyah-Hitchin metric on the space of collective coordinates of the monopoles. M . Classical orbits correspond to geodesics on M . Quantum states are obtained by supposing the hamiltonian is proportional to the covariant laplacian on M . We analyse in detail the asymptotic equations describing monopoles whose separation is large compared with the individual monopole radii. These give a non-trivial generalization of the Coulomb problem and are exactly soluble both in the classical and quantum regime. A variety of scattering processes and bound states are described.