Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Group theoretic approach to rationally extended shape invariant
  potentials   The exact bound state spectrum of rationally extended shape invariant real as
well as $PT$ symmetric complex potentials are obtained by using potential group
approach. The generators of the potential groups are modified by introducing a
new operator $U (x, J_3 \pm 1/2 )$ to express the Hamiltonian corresponding to
these extended potentials in terms of Casimir operators. Connection between the
potential algebra and the shape invariance is elucidated.

37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess