Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New Non-Symmetric Orthogonal Basis for the Calogero Model with
  Distinguishable Particles   We demonstrate an algebraic construction of all the simultaneous
eigenfunctions of the conserved operators for distinguishable particles
governed by the Calogero Hamiltonian. Our construction is completely parallel
to the construction of the Fock space for decoupled quantum harmonic
oscillators. The simultaneous eigenfunction does not coincide with the
non-symmetric Hi-Jack polynomial, which shows that the conserved operators
derived from the number operators of the decoupled quantum harmonic oscillators
are algebraically different from the known ones derived by the Dunkl operator
formulation.

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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: math
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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: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg