Quantum manifestations of chaotic scattering

Ying Cheng Lai; Reinhold Bl̈mel; Edward Ott; Celso Grebogi

doi:10.1103/PhysRevLett.68.3491

Quantum manifestations of chaotic scattering

Ying Cheng Lai, Reinhold Bl̈mel, Edward Ott, Celso Grebogi

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

110 Scopus citations

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 exhibits a cusp-shaped peak at =0 (where 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 (US)
Pages (from-to)	3491-3494
Number of pages	4
Journal	Physical Review Letters
Volume	68
Issue number	24
DOIs	https://doi.org/10.1103/PhysRevLett.68.3491
State	Published - 1992
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1103/PhysRevLett.68.3491

Cite this

@article{7706406220ce45f4a46053656df630d2,

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 exhibits a cusp-shaped peak at =0 (where 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.",

author = "Lai, {Ying Cheng} and Reinhold B{\"l}mel and Edward Ott and Celso Grebogi",

year = "1992",

doi = "10.1103/PhysRevLett.68.3491",

language = "English (US)",

volume = "68",

pages = "3491--3494",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "24",

}

TY - JOUR

T1 - Quantum manifestations of chaotic scattering

AU - Lai, Ying Cheng

AU - Bl̈mel, Reinhold

AU - Ott, Edward

AU - Grebogi, Celso

PY - 1992

Y1 - 1992

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 exhibits a cusp-shaped peak at =0 (where 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 exhibits a cusp-shaped peak at =0 (where 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.

UR - http://www.scopus.com/inward/record.url?scp=0004399855&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0004399855&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.68.3491

DO - 10.1103/PhysRevLett.68.3491

M3 - Article

AN - SCOPUS:0004399855

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

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this