Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isospectral partners for a complex PT-invariant potential   We construct isospectral partner potentials of a complex PT-invariant
potential, viz., V(x) = V_1 sech ^2 x - i V_2 sech x tanh x using Darboux's
method. Oneset of isospectral potentials are obatined which can be termed
'Satellite potentials', in the sense that they are pf the same form as the
original potential. In a particular case, the supersymmetric partner potential
has the same spectrum, including the zero energy ground state, a fact which
cannot occur in conventional supersymmetric quantum mechanics with real
potential. An explicit example of a non-trivial set of isospectral potential is
also obtained.

26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas