1996/04/24 by Vladimir I. Fal’ko, Vladimir I. Fal'ko, K. B. Efetov · 33 citations
Mathematics · Physics and Astronomy · #Amplitude #Chaotic #Crossover #Distribution (mathematics) #Distribution function #Function (biology) #Limit (mathematics) #Mathematical analysis #Mathematics #Nuclear physics research studies #Physics #Quantum chaos and dynamical systems #Quantum electrodynamics #Quantum mechanics #Range (aeronautics) #Statistical physics #Symmetry (geometry) #Theoretical and Computational Physics #Unitary state #Wave function #cond-mat
paper · pdf · doi:10.1103/physrevlett.77.912
published in Physical Review Letters 77(5), 912-915 (American Physical Society) · 4 pages RevTex + 2 figs
arxiv created 1996/04/24 · openalex publication_date 1996/07/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study correlations of the amplitudes of wave functions of a chaotic system at large distances. For this purpose, a joint distribution function of the amplitudes at two distant points in a sample is calculated analytically using the supersymmetry technique. The result shows that although in the limit of the orthogonal and unitary symmetry classes the correlations vanish, they are finite through the entire crossover regime and may be reduced only by localization effects.