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Large-N expansion for the time-delay matrix of ballistic chaotic cavities
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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. ISSN 0022-2488.
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Official URL: http://scitation.aip.org/content/aip/journal/jmp/5...
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 | ||||||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics Faculty of Science, Engineering and Medicine > Science > Physics |
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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: |
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Volume: | 57 | ||||||||
Article Number: | 111901 | ||||||||
Status: | Peer Reviewed | ||||||||
Publication Status: | Published | ||||||||
Date of first compliant deposit: | 8 November 2016 | ||||||||
Date of first compliant Open Access: | 8 November 2016 | ||||||||
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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