Moments of the transmission eigenvalues, proper delay times and random matrix theory II

Understand

We systematically study the first three terms in the asymptotic expansions of the moments of the transmission eigenvalues and proper delay times as the number of quantum channels n in the leads goes to infinity.

• The computations are based on the assumption that the Landauer-B\"utticker scattering matrix for chaotic ballistic cavities can be modelled by the circular ensembles of Random Matrix Theory (RMT).
• The starting points are the finite-n formulae that we recently discovered (Mezzadri and Simm, J.
• Math.