title: Statistical distribution of the Wigner-Smith time-delay matrix moments for chaotic cavities.
abstract: We derive the joint distribution of the moments TrQ(κ) (κ≥1) of the Wigner-Smith matrix for a chaotic cavity supporting a large number of scattering channels n. This distribution turns out to be asymptotically Gaussian, and we compute explicitly averages and covariances. The results are in a compact form and have been verified numerically. The general methodology of proof and computations has a wide range of applications.
authors.affiliation: School of Mathematics, University of Bristol, University Walk, Bristol BS8 1TW, England; Dipartimento di Matematica, Università di Bari, I-70125 Bari, Italy; and Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Bari, I-70126 Bari, Italy.
authors.forename: Fabio Deelan
authors.initials: FD
authors.lastname: Cunden