Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distribution of the quantum mechanical time-delay matrix for a chaotic
  cavity   We calculate the joint probability distribution of the Wigner-Smith
time-delay matrix $Q=-i\hbar S^{-1} \partial S/\partial \epsilon$ and the
scattering matrix $S$ for scattering from a chaotic cavity with ideal point
contacts. Hereto we prove a conjecture by Wigner about the unitary invariance
property of the distribution functional $P[S(\epsilon)]$ of energy dependent
scattering matrices $S(\epsilon)$. The distribution of the inverse of the
eigenvalues $\tau_1,...,\tau_N$ of $Q$ is found to be the Laguerre ensemble
from random-matrix theory. The eigenvalue density $\rho(\tau)$ is computed
using the method of orthogonal polynomials. This general theory has
applications to the thermopower, magnetoconductance, and capacitance of a
quantum dot.

17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th