Semiclassical scattering of charged particles

The semiclassical scattering amplitude is directly derived from the quantum mechanical S-matrix in the momentum representation. No information about the asymptotic form of the scattering wavefunction is required, which is particularly important for Coulomb problems. We apply the formalism to the scattering of two identical Coulomb particles and prove analytically that the semiclassical result is exact. It does not depend on a particular representation. However, its exactness can be attributed to the existence of a representation in which the quantum and the semiclassical propagator are identical.