Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Survey of Nodeless Regular Almost-Everywhere Holomorphic Solutions for
  Exactly Solvable Gauss-Reference Liouville Potentials on the Line I.Subsets
  of Nodeless Jacobi-Seed Solutions Co-Existent with Discrete Energy Spectrum   The paper collates a complete list of nodeless regular almost-everywhere
holomorphic (AEH) solutions for a subset of rational canonical Sturm-Liouville
equations (RCSLEs) exactly quantized on a finite interval by classical Jacobi
polynomials. The subset was constrained by the requirement that the appropriate
Liouville transformation results in the Schrodinger equation on the line. The
common remarkable feature of the selected nodeless solutions co-existent with
the discrete energy spectrum is that they can be used as seed functions for
multi-step 'canonical Liouville-Darboux transformations' (CLDTs) to convert the
Gauss-Reference (GRef) potential (appearing in the resultant Schrodinger
equation) into its isospectral rational SUSY partners conditionally exactly
quantized by the so-called 'Jacobi-Seed' Heine polynomials.

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The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas