Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrability and separation of variables in Calogero-Coulomb-Stark and
  two-center Calogero-Coulomb systems   We propose the integrable N-dimensional Calogero-Coulomb-Stark and two-center
Calogero-Coulomb systems and construct their constants of motion via the Dunkl
operators. Their Schr\"odinger equations decouple in parabolic and elliptic
coordinates into the set of three differential equations like for the
Coulomb-Stark and two-center Coulomb problems. The Calogero term preserves the
energy levels, but changes their degrees of degeneracy.

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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an