2013/06/11 by Z. Pluhar, Z. Pluhař, H. A. Weidenmüller +1
Mathematics · Physics and Astronomy · #Chaotic #Chaotic scattering #Computer science #Eigenvalues and eigenvectors #Mathematical optimization #Mathematical physics #Mathematics #Matrix (chemical analysis) #Nuclear physics research studies #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum graph #Quantum mechanics #Random matrix #Saddle #Saddle point #Scattering #Scattering theory #Semiclassical physics #nlin.CD
paper · pdf · doi:10.1103/physreve.88.022902
arxiv created 2013/06/11 · openalex publication_date 2013/08/05 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
For chaotic scattering on quantum graphs, the semiclassical approximation is exact. We use this fact and employ supersymmetry, the color-flavor transformation, and the saddle-point approximation to calculate the exact expression for the lowest and asymptotic expressions in the Ericson regime for all higher correlation functions of the scattering matrix. Our results agree with those available from the random-matrix approach to chaotic scattering. We conjecture that our results hold universally for quantum-chaotic scattering.