STRUCTURE OF EIGENFUNCTIONS IN TERMS OF CLASSICAL TRAJECTORIES IN AN SU(3) SCHEMATIC SHELL-MODEL

The Husimi distribution for the eigenstates of a classically nonintegrable two-dimensional system with mixed phase space was calculated in order to analyze its structure in terms of classical trajectories. Besides eigenfunctions concentrated on invariant tori or with support on chaotic regions of phase space, we also found others that combine different classical invariant sets (like a stable and an unstable periodic orbit) and families of eigenstates scarred by classically unstable periodic orbits. © 1990 The American Physical Society.