2015/07/20 by Marcel Novaes · 1 citation
Physics and Astronomy · Mathematics · #nlin.CD #cond-mat.mes-hall #math-ph #math.MP
paper · pdf · doi:10.1063/1.4922746
published as J. Math. Phys. 56, 062110 (2015) · 9 pages, no 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 first part
arxiv created 2015/07/20 · arxiv updated 2015/07/21
We consider the statistics of time delay in a chaotic cavity having M open channels, in the absence of time-reversal invariance. In the random matrix theory approach, we compute the average value of polynomial functions of the time delay matrix Q=-iℏ S^†dS/dE, where S is the scattering matrix. Our results do not assume M to be large. In a companion paper, we develop a semiclassical approximation to S-matrix correlation functions, from which the statistics of Q can also be derived. Together, these papers contribute to establishing the conjectured equivalence between the random matrix and the semiclassical approaches.