1997/12/09 by Mark Srednicki, Srednicki, Mark
Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Opinion Dynamics and Social Influence #Theoretical and Computational Physics #chao-dyn #cond-mat.mes-hall #nlin.CD
paper · pdf · doi:10.48550/arxiv.chao-dyn/9712008
Invited talk given at the NATO Advanced Study Institute on Supersymmetry and Trace Formulae, Cambridge, 8--19 September 1997; 8 pages; summarizes results from chao-dyn/9710025 and chao-dyn/9711020
arxiv created 1997/12/09 · openalex publication_date 1997/12/09 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
At short distances, energy eigenfunctions of chaotic systems have spatial correlations that are well described by assuming a microcanonical density in phase space for the corresponding Wigner function. However, this is not correct on large scales. The correct correlation function is in turn needed to get the correct formula for the root-mean-square value of the off-diagonal matrix elements of simple observables, and for the fluctuations in the diagonal elements.