1995/08/17 by Bruno Eckhardt, Jörg Main, Joerg Main · 2 citations
Mathematics · Physics and Astronomy · #Amplitude #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Constant (computer programming) #Density matrix #Geometry #Mathematical physics #Mathematics #Matrix (chemical analysis) #Observable #Phase (matter) #Phase space #Physics #Quadratic equation #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Semiclassical physics #Space (punctuation) #Spectroscopy and Quantum Chemical Studies #Square (algebra) #Trajectory #chao-dyn #nlin.CD
paper · pdf · doi:10.1103/physrevlett.75.2300
4 pages postscript and 3 postscript figures; use uudecode, gunzip and tar; Comments and requests to [email protected]
arxiv created 1995/08/17 · openalex publication_date 1995/09/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We analyze within a semiclassical approximation the form factor for the fluctuations of quantum matrix elements around their classical average. We find two contributions. One is proportional to the form factor for the density of states, with an amplitude determined by the squared average of the matrix elements. The other is constant and related to the fluctuations of finite time classical trajectory segments around the phase space average. The results are illustrated for an observable in the quadratic Zeemann effect.