Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solution of the Schr\"odinger equation with a Lennard-Jones
  potential   The Schr\"odinger equation with a Lennard-Jones potential is solved by using
a procedure that treats in a rigorous way the irregular singularities at the
origin and at infinity. Global solutions are obtained thanks to the computation
of the connection factors between Floquet and Thom\'e solutions. The energies
of the bound states result as zeros of a function defined by a convergent
series whose successive terms are calculated by means of recurrence relations.
The procedure gives also the wave functions expressed either as a linear
combination of two Laurent expansions, at moderate distances, or as an
asymptotic expansion, near the singular points. A table of the critical
intensities of the potential, for which a new bound state (of zero energy)
appears, is also given.

22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas