Dispersive Charge Transfer Model with Long-Range Quantum Interactions

We present a method of proving the asymptotic completeness of wave operators associated with the scattering of a quantum particle in a field of classical particles with long-range interactions, based on some propagation estimates of the type recently developed in the theory of N-body systems. The approach allows us to treat a class of dispersive systems where the free Hamiltonian has the form H0sp D., covering, for example, the case of the relativistic Hamiltonian p j.s c2q