### Abstract

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.

Original language | English |
---|---|

Pages (from-to) | 3491-3494 |

Number of pages | 4 |

Journal | Physical Review Letters |

Volume | 68 |

Issue number | 24 |

Publication status | Published - 15 Jun 1992 |

### Keywords

- IRREGULAR SCATTERING
- HAMILTONIAN-SYSTEMS
- SIMPLE-MODEL
- BEHAVIOR
- BILLIARD
- REGIME

### Cite this

*Physical Review Letters*,

*68*(24), 3491-3494.

**QUANTUM MANIFESTATIONS OF CHAOTIC SCATTERING.** / LAI, Y C ; BLUMEL, R ; OTT, E ; GREBOGI, C ; Lai, Ying-Cheng.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 68, no. 24, pp. 3491-3494.

}

TY - JOUR

T1 - QUANTUM MANIFESTATIONS OF CHAOTIC SCATTERING

AU - LAI, Y C

AU - BLUMEL, R

AU - OTT, E

AU - GREBOGI, C

AU - Lai, Ying-Cheng

PY - 1992/6/15

Y1 - 1992/6/15

N2 - 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.

AB - 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.

KW - IRREGULAR SCATTERING

KW - HAMILTONIAN-SYSTEMS

KW - SIMPLE-MODEL

KW - BEHAVIOR

KW - BILLIARD

KW - REGIME

M3 - Article

VL - 68

SP - 3491

EP - 3494

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 24

ER -