Distribution of matrix elements of a classically chaotic system

Elizabeth Austin, M Wilkinson

Research output: Contribution to journalArticlepeer-review

Abstract

The statistics of matrix elements of a perturbation of a classically chaotic quartic oscillator system are investigated. Our numerical results confirm that the local variance of the matrix elements can be obtained from a classical correlation function. The probability distribution of the matrix elements (normalised using their local variance) was investigated. This is expected to be a Gaussian distribution in the semi-classical (high-energy) limit. The expected Gaussian form emerges slowly as the energy is increased. The form of the distribution at lower energies is identified.

Original languageEnglish
Pages (from-to)589-593
Number of pages5
JournalEuropean Physical Society Letters (EPL)
Volume20
Issue number7
DOIs
Publication statusPublished - 1 Dec 1992

Fingerprint

Dive into the research topics of 'Distribution of matrix elements of a classically chaotic system'. Together they form a unique fingerprint.

Cite this