SEMICLASSICAL SCATTERING OF CHARGED-PARTICLES

The semiclassical scattering amplitude is directly derived from the qu antum mechanical S-matrix in the momentum representation. No informati on about the asymptotic form of the scattering wavefunction is require d, which is particularly important for Coulomb problems. We apply the formalism to the scattering of two identical Coulomb particles and pro ve analytically that the semiclassical result is exact. It does not de pend on a particular representation. However, its exactness can be att ributed to the existence of a representation in which the quantum and the semiclassical propagator are identical.