We examine quantum chaotic scattering in the semiclassical regime for the two cases where the classical scattering is hyperbolic and nonhyperbolic. It is shown that in the nonhyperbolic case the energy-dependent S-matrix autocorrelation function C(epsilon) exhibits a cusp-shaped peak at epsilon=0 (where epsilon denotes the energy difference). This indicates that the fine scale fluctuations with energy of the S matrix are characteristically greatly enhanced in the nonhyperbolic case as compared with the hyperbolic case.
机构:
CEA Saclay, CNRS, URA 2306, Inst Phys Theor, FR-91191 Gif Sur Yvette, FranceCEA Saclay, CNRS, URA 2306, Inst Phys Theor, FR-91191 Gif Sur Yvette, France
Nonnenmacher, Stephane
Zworski, Maciej
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机构:
Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USACEA Saclay, CNRS, URA 2306, Inst Phys Theor, FR-91191 Gif Sur Yvette, France