Quantum chaology (The Bakerian Lecture, 1987)

Details Quantum chaology (The Bakerian Lecture, 1987) Quantum chaology (The Bakerian Lecture, 1987)

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987rspsa.413..183b&link_type=abstract

(Royal Society, Discussion on Dynamical Chaos, London, England, Feb. 4, 5, 1987) Royal Society (London), Proceedings, Series A -

Mathematics

Spectral Theory

188

Chaos, Quantum Mechanics, Orbital Elements, Spectral Theory, Statistical Distributions

Scientific paper

The fundamental principles of quantum chaology, defined as the study of semiclassical but nonclassical behavior in systems whose classical motion exhibits chaos, are discussed and illustrated with examples from the statistics of energy levels. It is shown that, for scales of the order of the mean level spacing, classically regular systems have Poisson statistics, while classically chaotic systems have the statistics of random (real symmetric or Hermitian) matrices. These universality classes are found to break down on larger scales, where the classical closed orbits representing the spectra are shorter.

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