Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inverse Scattering Problem for the Schr\"odinger Operator with a
  Separable Potential   We prove that the inverse scattering problem for the Schr\"odinger operator
with the separable potential can be reduced to the solving of a certain
singular integral equation. We establish the uniqueness of the potential
corresponding to given scattering amplitude in the class of separable
potentials.

18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin