Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-step Shape Invariance in the Framework of N-fold Supersymmetry   We extensively investigate two-step shape invariance in the framework of
N-fold supersymmetry. We first show that any two-step shape-invariant system
possesses type A 2-fold supersymmetry with an intermediate Hamiltonian and thus
has second-order parasupersymmetry as well. Employing the general form of type
A 2-fold supersymmetry, we systematically construct two-step shape-invariant
potentials. In addition to the well-known ordinary shape-invariant potentials,
we obtain several new and novel two-step shape-invariant ones which are not
ordinary shape invariant. Furthermore, some of the latter potentials are
conditionally two-step shape invariant and thus are conditionally solvable.

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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex