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24 April 2024
 
  » arxiv » nlin.CD/0008022

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Classical fluctuations and semiclassical matrix elements
Bruno Eckhardt ; Imre Varga ; Peter Pollner ;
Date 17 Aug 2000
Journal Prog. of Theor. Phys. Supp. 139 59-69 (2000).
Subject Chaotic Dynamics; Mesoscopic Systems and Quantum Hall Effect | nlin.CD cond-mat.mes-hall
Affiliation1,2) and Peter Pollner (1,3) ( Philipps Universitaet Marburg, Budapest University of Technology and Economics, Roland Eotvos University, Budapest
AbstractWe discuss the fluctuation properties of diagonal matrix elements in the semiclassical limit in chaotic systems. For extended observables, covering a phase space area of many times Planck’s constant, both classical and quantal distributions are Gaussian. If the observable is a projection onto a single state or an incoherent projection onto several states classical and quantal distribution differ, but the mean and the variance are still obtainable from classical considerations.
Source arXiv, nlin.CD/0008022
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