Quantum manifestations of chaotic scattering

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

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104 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 languageEnglish (US)
Pages (from-to)3491-3494
Number of pages4
JournalPhysical Review Letters
Volume68
Issue number24
DOIs
StatePublished - Jan 1 1992
Externally publishedYes

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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