Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equidistribution of phase shifts in semiclassical potential scattering   Consider a semiclassical Hamiltonian $H := h^{2} \Delta + V - E$ where
$\Delta$ is the positive Laplacian on $\mathbb{R}^{d}$, $V \in
C^{\infty}_{0}(\mathbb{R}^{d})$ and $E > 0$ is an energy level. We prove that
under an appropriate dynamical hypothesis on the Hamilton flow corresponding to
$H$, the eigenvalues of the scattering matrix $S_{h}(V)$ define a measure on
$\mathbb{S}^{1}$ that converges to Lebesgue measure away from $1 \in
\mathbb{S}^{1}$ as $h \to 0$.

25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int