Dimension and escape rate of chaotic scattering from classical and semiclassical cross section data

C. Jung, T. Tél

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

A new method is presented to extract information concerning the strange repeller underlying chaotic potential scattering based on classical and quantum mechanical scattering cross section data in the semiclassical limit. In particular, the authors show that both the fractal dimension and the escape rate of the classical system can be deduced from quantum measurements. The method can be applied in the limit of small wavelengths of the incoming projectile compared with the size of the target. As input, the differential quantum cross section is needed for the angle and/or the energy with such good resolution that fast interference oscillations are well resolved.

Original languageEnglish
Article number018
Pages (from-to)2793-2805
Number of pages13
JournalJournal of Physics A: General Physics
Volume24
Issue number12
DOIs
Publication statusPublished - 1991

Fingerprint

Escape Rate
escape
Cross section
Scattering
Quantum Measurement
Semiclassical Limit
Projectile
cross sections
Fractal dimension
Projectiles
scattering
Fractal Dimension
scattering cross sections
projectiles
fractals
Interference
Oscillation
Wavelength
interference
Angle

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

Dimension and escape rate of chaotic scattering from classical and semiclassical cross section data. / Jung, C.; Tél, T.

In: Journal of Physics A: General Physics, Vol. 24, No. 12, 018, 1991, p. 2793-2805.

Research output: Contribution to journalArticle

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