Statistical properties of energy levels of chaotic systems: Wigner or non-Wigner

Preprint

29 January 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.chao-dyn/9501016

Abstract

For systems whose classical dynamics is chaotic, it is generally believed that the local statistical properties of the quantum energy levels are well described by Random Matrix Theory. We present here two counterexamples - the hydrogen atom in a magnetic field and the quartic oscillator - which display nearest neighbor statistics strongly different from the usual Wigner distribution. We interpret the results with a simple model using a set of regular states coupled to a set of chaotic states modeled by a random matrix.

Keywords

STATISTICAL PROPERTIES
CLASSICAL DYNAMICS
CHAOTIC SYSTEMS
ENERGY LEVELS
RANDOM MATRIX
HYDROGEN
WIGNER

All Related Versions

Version 1, 1995-01-29, ArXiv
Published version: Physical Review Letters, 74 (4), 522.

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