Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coulomb Energy Averaged over the $n\ell^N$-Atomic States with a Definite
  Spin   A purely group-theoretical approach (for which the symmetric group plays a
central r\^ole), based upon the use of properties of fractional-parentage
coefficients and isoscalar factors, is developed for the derivation of the
Coulomb energy averaged over the states, with a definite spin, arising from an
atomic configuration $n \ell^N$.

15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph