Distribution of matrix elements of a classically chaotic system

Elizabeth Austin, M Wilkinson

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

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)
Issue number7
Publication statusPublished - 1 Dec 1992


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