QUANTUM LOCALIZATION ON CLASSICAL PERIODIC-ORBITS

Eigenfunctions of classically chaotic systems concentrated on periodic orbits are studied. Individual eigenstates localized on these orbits persist even as the orbit becomes highly unstable. In this regime, the scar intensity is not concentrated on individual eigenstates, but is shared by several of them which cluster together in energy. The average energy of each cluster is found to be in good agreement with semiclassical quantization at all energies. The phase space structure of members of each group of eigenstates is compared to the classical invariant sets associated with the orbits. © 1991.