Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distribution of the Wigner-Smith time-delay matrix for chaotic cavities
  with absorption and coupled Coulomb gases   Within the random matrix theory approach to quantum scattering, we derive the
distribution of the Wigner-Smith time delay matrix $\mathcal{Q}$ for a chaotic
cavity with uniform absorption, coupled via $N$ perfect channels. In the
unitary class $\beta=2$ we obtain a compact expression for the distribution of
the full matrix in terms of a matrix integral. In the other symmetry classes we
derive the joint distribution of the eigenvalues. We show how the large $N$
properties of this distribution can be analysed in terms of two interacting
Coulomb gases living on two different supports. As an application of our
results, we study the statistical properties of the Wigner time delay
$\tau_{\mathrm{W}} = \mathrm{tr}[\mathcal{Q}]/N$ in the presence of absorption.

29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph