QUANTUM MANIFESTATIONS OF CHAOTIC SCATTERING

Y C  LAI; R  BLUMEL; E  OTT; C  GREBOGI; Ying-Cheng Lai

QUANTUM MANIFESTATIONS OF CHAOTIC SCATTERING

Y C LAI, R BLUMEL, E OTT, C GREBOGI, Ying-Cheng Lai

Physics

Research output: Contribution to journal › Article › peer-review

110 Citations (Scopus)

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

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title = "QUANTUM MANIFESTATIONS OF CHAOTIC SCATTERING",

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.",

keywords = "IRREGULAR SCATTERING, HAMILTONIAN-SYSTEMS, SIMPLE-MODEL, BEHAVIOR, BILLIARD, REGIME",

author = "LAI, {Y C} and R BLUMEL and E OTT and C GREBOGI and Ying-Cheng Lai",

year = "1992",

month = jun,

day = "15",

language = "English",

volume = "68",

pages = "3491--3494",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "24",

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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

SN - 0031-9007

VL - 68

SP - 3491

EP - 3494

JO - Physical Review Letters

JF - Physical Review Letters

IS - 24

ER -

QUANTUM MANIFESTATIONS OF CHAOTIC SCATTERING

Abstract

Keywords

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