2015/06/01 by Marcel Novaes
Physics and Astronomy · Chemistry · #Quantum chaos and dynamical systems #Molecular spectroscopy and chirality #Quantum Chromodynamics and Particle Interactions
paper · doi:10.1063/1.4922745
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)].