Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge equivalence and inverse scattering for long-range magnetic
  potentials   For Schroedinger operators with long-range magnetic vector potentials and
short-range electric scalar potentials in an exterior domain $\Omega$ in ${\bf
R}^n$ with $n \geq 2$, we show that there is a one-to-one correspondence
between the gauge equivalent classes of Hamiltonians and those of S-matrices if
$\Omega$ is exterior to a bounded convex obstacle.

9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
3
The categories of this paper are: physics
19
The categories of this paper are: eess
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat