Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Boson-realization model for the vibrational spectra of tetrahedral
  molecules   An algebraic model of Boson-realization is proposed to study the vibrational
spectra of a tetrahedral molecule, where ten sets of boson creation and
annihilation operators are used to construct the Hamiltonian with $T_{d}$
symmetry. There are two schemes in our model. The first scheme provides an
eight-parameter fit to the published experimental vibrational eigenvalues of
methane with a root-mean-square deviation 11.61 $cm^{-1}$. The second scheme,
where the bending oscillators are assumed to be harmonic and the interactions
between the bending vibrations are neglected, provided a five-parameter fit
with a root-mean-square deviation 12.42 $cm^{-1}$

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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
31
The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: hep-th
2
The categories of this paper are: math
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The categories of this paper are: acc-phys