1997/10/30 by Sanjay Hortikar, Mark Srednicki · 3 citations
Physics and Astronomy · #Quantum chaos and dynamical systems #Scientific Research and Discoveries #Theoretical and Computational Physics #chao-dyn #cond-mat.mes-hall #nlin.CD
paper · pdf · doi:10.1103/physrevlett.80.1646
published as Phys. Rev. Lett. 80, 1646 (1998) · 8 pages, 1 figure, RevTeX, epsf
arxiv created 1997/10/30 · openalex publication_date 1998/02/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
An energy eigenfunction in a classically chaotic system is known to have spatial correlations which (in the limit of small \ensuremath\Elzxh) are governed by a microcanonical distribution in the classical phase space. This result is valid, however, only over coordinate distances which are small compared to any relevant classical distance scales (such as the cyclotron radius for a charged particle in a magnetic field). We derive a modified formula for the correlation function in the regime of large separation. This then permits a complete description, over all length scales, of the statistical properties of chaotic eigenfunctions in the \ensuremath\Elzxh\ensuremath→0 limit. Applications to quantum dots are briefly discussed.