Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H$_3^+$ as a five-body problem described with explicitly correlated
  Gaussian basis sets   Various explicitly correlated Gaussian (ECG) basis sets are considered for
the solution of the molecular Schr\"odinger equation with particular attention
to the simplest polyatomic system, H$_3^+$. Shortcomings and advantages are
discussed for plain ECGs, ECGs with the global vector representation, floating
ECGs and their numerical projection, and ECGs with complex parameters. The
discussion is accompanied with particle density plots to visualize the
observations. In order to be able to use large complex ECG basis sets in
molecular calculations, a numerically stable algorithm is developed, the
efficiency of which is demonstrated for the lowest rotationally and
vibrationally excited states of H$_2$ and H$_3^+$.

10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th