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Abstract
We consider the 1/Nexpansion 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/Nexpansion of the moments. The integrality of these coefficients and their possible diagrammatic interpretation is discussed.
Original language  English 

Article number  111901 
Number of pages  16 
Journal  Journal of Mathematical Physics 
Volume  57 
Issue number  11 
Early online date  4 Nov 2016 
DOIs  
Publication status  Published  Nov 2016 
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Dive into the research topics of 'LargeN expansion for the timedelay matrix of ballistic chaotic cavities'. Together they form a unique fingerprint.Projects
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Professor Francesco Mezzadri
 Probability, Analysis and Dynamics
 School of Mathematics  Professor of Mathematical Physics
 Applied Mathematics
 Mathematical Physics
Person: Academic , Member