Semiclassical time-dependent propagation in three dimensions for a Coulombpotential

A unified semiclassical time propagator is used to calculate the semiclassi cal rime-correlation function in three Cartesian dimensions for a particle moving in an attractive Coulomb potential. It is demonstrated that under th ese conditions the singularity of the potential does not cause any difficul ties and the Coulomb interaction can be treated as any other nonsingular po tential. Moreover, by virtue of our three-dimensional calculation, we can e xplain the discrepancies between previous semiclassical and quantum results obtained for the one-dimensional radial Coulomb problem. [S1050-2947(99)50 303-X].