Classical cross section for chaotic potential scattering. (English) Zbl 0704.58034
Summary: We investigate the differential cross section for a scattering system for which the existence of topological chaos in the phase space has already been shown in a previous paper. The most important result is the arrangement of an infinity of rainbow singularities into a fractal structure with a binary organization. Its scaling behaviour is given by the eigenvalues of some periodic orbits. We discuss to what extent these results are typical for any chaotic scattering system.
MSC:
37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
81Q50 | Quantum chaos |
81Uxx | Quantum scattering theory |