Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Heun-Polynomial Representation of Regular-at-Infinity Solutions for the
  Basic SUSY Ladder of Hyperbolic P\"oschl-Teller Potentials Starting from the
  Reflectionless Symmetric Potential Well   It is shown that the regular-at-infinity solution of the 1D Schrodinger
equation with the hyperbolic Poschl-Teller (h-PT) potential with integer
parameters is expressible in terms of a n-order Heun polynomial in y=thr at an
arbitrary negative energy. It was proven that the Heun polynomials in question
form a subset of generally complex Lambe-Ward polynomials corresponding to zero
value of the accessory parameter. Since the mentioned solution expressed in the
new variable y has an almost-everywhere holomorphic (AEH) form it can be used
as the factorization function (FF) for canonical Liouville-Darboux
transformations (CLDTs) to construct a continuous family of shape-invariant
rational potentials exactly-solvable by the Hp-seed (HpS) Heine polynomials.
There are also two sequences of infinitely many rational potentials generated
using CLDTs with nodeless regular-at-origin AEH FFs.

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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
1
The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex