Fluctuations of wave functions about their classical average
Chaotic Dynamics
2008-11-26 v1 Condensed Matter
Nuclear Theory
Abstract
Quantum-classical correspondence for the average shape of eigenfunctions and the local spectral density of states are well-known facts. In this paper, the fluctuations that quantum mechanical wave functions present around the classical value are discussed. A simple random matrix model leads to a Gaussian distribution of the amplitudes. We compare this prediction with numerical calculations in chaotic models of coupled quartic oscillators. The expectation is broadly confirmed, but deviations due to scars are observed.
Cite
@article{arxiv.nlin/0207039,
title = {Fluctuations of wave functions about their classical average},
author = {L. Benet and J. Flores and H. Hernandez-Saldaña and F. M. Izrailev and F. Leyvraz and T. H. Seligman},
journal= {arXiv preprint arXiv:nlin/0207039},
year = {2008}
}
Comments
9 pages, 6 figures. Sent to J. Phys. A