Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Potentials with Identical Scattering Properties Below a Critical Energy   A pair of scattering potentials are called $\alpha$-equivalent if they have
identical scattering properties for incident plane waves with wavenumber
$k\leq\alpha$ (energy $k^2\leq\alpha^2$.) We use a recently developed
multidimensional transfer-matrix formulation of scattering theory to obtain a
simple criterion for $\alpha$-equivalence of complex potentials in two and
three dimensions.

29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat