2002/07/22 by L. Benet, Luis Benet, J. Flores +6 · 2 citations
Chemistry · Physics and Astronomy · #Molecular spectroscopy and chirality #Quantum chaos and dynamical systems #Theoretical and Computational Physics #cond-mat #nlin.CD #nucl-th
paper · pdf · doi:10.1088/0305-4470/36/5/307
published as J.Phys.A36:1289-1298,2003 · 9 pages, 6 figures. Sent to J. Phys. A
arxiv created 2002/07/22 · openalex publication_date 2003/01/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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 of the quantum wavefunctions around the classical value are discussed. A simple random matrix model leads to a Gaussian distribution of the amplitudes whose width is determined by the classical shape of the eigenfunction. To compare this prediction with numerical calculations in chaotic models of coupled quartic oscillators, we develop a rescaling method for the components. The expectations are broadly confirmed, but deviations due to scars are observed. This effect is much reduced when both Hamiltonians have chaotic dynamics.