Large-N expansion for the time-delay matrix of ballistic chaotic cavities
Citation
Cunden, F, Mezzadri, F, Simm, N & Vivo, P, 2016, ‘Large-N expansion for the time-delay matrix of ballistic chaotic cavities’. Journal of Mathematical Physics, vol 57.
Abstract
We consider the 1/N-expansion of the moments of the proper delay times for a ballistic chaotic cavity supporting N scattering channels. In the random matrix approach, these moments correspond to traces of negative powers of Wishart matrices. For systems with and without broken time reversal symmetry (Dyson indices β=1 and β=2) we obtain a recursion relation, which efficiently generates the coefficients of the 1/N-expansion of the moments. The integrality of these coefficients and their possible diagrammatic interpretation is discussed.
