Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Application of the spectral element method to the solution of the
  multichannel Schr\"odinger equation   We apply the spectral element method to the determination of scattering and
bound states of the multichannel Schr\"odinger equation. In our approach the
reaction coordinate is discretized on a grid of points whereas the internal
coordinates are described by either purely diabatic or locally diabatic
(diabatic-by-sector) bases. Bound levels and scattering matrix elements are
determined with spectral accuracy using relatively small numbers of points. The
scattering problem is cast as a linear system solved using state-of-the-art
sparse matrix non iterative packages. Boundary conditions can be imposed so to
compute a single column of the matrix solution. A comparison with
log-derivative propagators customarily used in molecular physics is performed.
The same discretization scheme can also be applied to bound levels that are
computed using direct scalable sparse-matrix solvers.

17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga