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 |
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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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