Deelan Cunden, Fabio, Mezzadri, Francesco, Simm, Nick and Vivo, Pierpaolo (2016) Large-N expansion for the time-delay matrix of ballistic chaotic cavities. Journal of Mathematical Physics, 57 . 111901.

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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.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Random variables, Distribution (Probability theory)
Journal or Publication Title:	Journal of Mathematical Physics
Publisher:	American Institute of Physics
ISSN:	0022-2488
Official Date:	4 November 2016
Dates:	Date Event 4 November 2016 Published 16 October 2016 Accepted 3 July 2016 Submitted
Volume:	57
Article Number:	111901
Status:	Peer Reviewed
Publication Status:	Published
Funder:	Engineering and Physical Sciences Research Council (EPSRC), Gruppo nazionale di fisica matematica (Italy) , Leverhulme Trust (LT)
Grant number:	EP/L010305/1, EP/L015854/1 (EPSRC), ECF-2014-309 (Leverhulme)

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