Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A method for computation of scattering amplitudes and Green functions of
  whole axis problems   A method for the computation of scattering data and of the Green function for
the one-dimensional Schr\"{o}dinger operator $H:=-\frac{d^2}{dx^2}+q(x)$ with a
decaying potential is presented. It is based on representations for the Jost
solutions in the case of a compactly supported potential obtained in terms of
Neumann series of Bessel functions (NSBF), an approach recently developed in
arXiv:1508.02738. The representations are used for calculating a complete
orthonormal system of generalized eigenfunctions of the operator $H$ which in
turn allow one to compute the scattering amplitudes and the Green function of
the operator $H-\lambda$ with $\lambda\in\mathbb{C}$.

11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat