Quantum manifestations of chaotic scattering

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

Research output: Contribution to journalArticlepeer-review

110 Scopus citations


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 languageEnglish (US)
Pages (from-to)3491-3494
Number of pages4
JournalPhysical Review Letters
Issue number24
StatePublished - 1992
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)


Dive into the research topics of 'Quantum manifestations of chaotic scattering'. Together they form a unique fingerprint.

Cite this