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 (11901). pp. 1-16. ISSN 0022-2488

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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:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Research Centres and Groups:	Mathematical Physics Group Probability and Statistics Research Group
Subjects:	Q Science > QA Mathematics > QA0273 Probabilities. Mathematical statistics Q Science > QC Physics
Depositing User:	Nicholas Simm
Date Deposited:	17 May 2018 09:30
Last Modified:	17 May 2018 09:31
URI:	http://srodev.sussex.ac.uk/id/eprint/75906

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