2001/03/26 by Raúl O. Vallejos, Raul O. Vallejos, Caio Lewenkopf +1 · 3 citations
Physics and Astronomy · #Quantum chaos and dynamical systems #Scientific Research and Discoveries #Theoretical and Computational Physics #nlin.CD
paper · pdf · doi:10.1088/0305-4470/34/13/304
published as J. Phys. A: Math. Gen 34 (2001) 2713
openalex publication_date 2001/03/26 · arxiv created 2001/06/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The standard semiclassical calculation of transmission correlation functions for chaotic systems is severely influenced by unitarity problems. We show that unitarity alone imposes a set of relationships between cross sections correlation functions which go beyond the diagonal approximation. When these relationships are properly used to supplement the semiclassical scheme we obtain transmission correlation functions in full agreement with the exact statistical theory and the experiment. Our approach also provides a novel prediction for the transmission correlations in the case where time reversal symmetry is present.