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8 Manifestations of Chaos in Quantum Scattering Processes
Fig. 8.8 Fano shape resonances at (a) E = 11.156 a scattering resonance on the large KAM
island. (b) E = 12.334, a scattering resonance on theisland chain surrounding the large KAM
island. (c) E = 12.502 a scattering state on the chaotic layer (see Fig. 8.9). Dashed lines show
fitted results., The fitted parameters, E R , and q are given in units of E 1 and G is given in units of
2e 2
h (from Lee and Reichl 2006)
Fig. 8.9 Husimi plots of resonant scattering states for the resonances in Fig. 8.8. (a) The state at
E = 11.156 lies on the large KAM island. (b) The state at E = 12.334 lies on the island change
surrounding the large KAM island. (c) The state at E = 12.502 lies on the chaotic scattering layer
and has high probability regions close to the outer fixed points. The Husimi plots (a) and (b) are
superimposed on the classical Poincare surface of section and (c) is superimposed on the stable
and unstable manifolds associated with the fixed points art x = 0 and x = 1 (from Lee and Reichl
2006)