2015/06/01 by Marcel Novaes · 20 citations
Chemistry · Mathematics · Physics and Astronomy · #Chaotic #Chaotic scattering #Computer science #Correlation function (quantum field theory) #Integer (computer science) #Mathematical analysis #Mathematical physics #Mathematics #Matrix (chemical analysis) #Molecular spectroscopy and chirality #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #Quantum mechanics #Random matrix #S-matrix #Scattering #Semiclassical physics #Series (stratigraphy) #Statistical physics #Statistics #cond-mat.mes-hall #math-ph #math.MP #nlin.CD
paper · pdf · doi:10.1063/1.4922745
published in Journal of Mathematical Physics 56(6) (American Institute of Physics) · 20 pages, 3 figures. A previous paper, arXiv:1408.1669, has been split in two parts upon publication, each part containing different results, in order to make the presentation more consistent. This is the second part
openalex publication_date 2015/06/01 · arxiv created 2015/07/20 · arxiv updated 2015/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider S-matrix correlation functions for a chaotic cavity having M open channels, in the absence of time-reversal invariance. Relying on a semiclassical approximation, we compute the average over E of the quantities Tr[S†(E − ϵ) S(E + ϵ)]n, for general positive integer n. Our result is an infinite series in ϵ, whose coefficients are rational functions of M. From this, we extract moments of the time delay matrix Q = − iħS†dS/dE and check that the first 8 of them agree with the random matrix theory prediction from our previous paper [M. Novaes, J. Math. Phys. 56, 062110 (2015)].