2000/08/17 by Bruno Eckhardt, Shmuel Fishman, Imre Varga · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum chaos and dynamical systems #Scientific Research and Discoveries #cond-mat.mes-hall #nlin.CD #physics.chem-ph
paper · pdf · doi:10.1103/physreve.62.7867
published as Phys. Rev. E 62, 7867 (2000) · 6 pages, 2 figures
arxiv created 2000/08/17 · openalex publication_date 2000/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We calculate within a semiclassical approximation the autocorrelation function of cross sections. The starting point is the semiclassical expression for the diagonal matrix elements of an operator. For general operators with a smooth classical limit the autocorrelation function of such matrix elements has two contributions with relative weights determined by classical dynamics. We show how the random matrix result can be obtained if the operator approaches a projector onto a single initial state. The expressions are verified in calculations for the kicked rotor.