Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Free Oscillator Realization of the Laguerre Polynomial   We revisit the radial oscillator from the free oscillator realization point
of view. By using a free oscillator, namely the creation/annihilation operators
of the harmonic oscillator, we construct an operator that maps the
eigenfunctions of the harmonic oscillator to those of the radial oscillator. As
a polynomial part of this relation, we obtain an operator that maps the Hermite
polynomials to the Laguerre polynomials.

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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: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg