Abstract
The leading quantum corrections for the scattering of a particle in one dimension from a pulsed potential are discussed. Depending on the model parameters, the scattering may be either regular or chaotic. The quantum corrections are obtained by applying a semiclassical formalism that gives the distribution of scattered momenta down to a resolution of order . At this resolution, the main quantum effect is the softening of the classical rainbow singularities into peaks with widths of order . Quantum corrections for examples of both regular and chaotic scattering are compared with exact quantum results, and a criterion is given for estimating the resolution at which the corrections first become significant.
- Received 13 February 1992
DOI:https://doi.org/10.1103/PhysRevA.45.8530
©1992 American Physical Society