Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inter-relations between additive shape invariant superpotentials   All known additive shape invariant superpotentials in nonrelativistic quantum
mechanics belong to one of two categories: superpotentials that do not
explicitly depend on $\hbar$, and their $\hbar$-dependent extensions. The
former group themselves into two disjoint classes, depending on whether the
corresponding Schr\"odinger equation can be reduced to a hypergeometric
equation (type-I) or a confluent hypergeometric equation (type-II). All the
superpotentials within each class are connected via point canonical
transformations. Previous work showed that type-I superpotentials produce
type-II via limiting procedures. In this paper we develop a method to generate
a type I superpotential from type II, thus providing a pathway to interconnect
all known additive shape invariant superpotentials.

27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin