Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the singular harmonic oscillator   We obtain the eigenvalues and eigenfunctions of the singular harmonic
oscillator $V(x)=\alpha/(2x^2)+x^2/2$ by means of the simple and
straightforward Frobenius (power-series) method. From the behaviour of the
eigenfunctions at origin we derive two branches for the eigenvalues for
negative values of $\alpha$. We discuss the well known fact that there are
square-integrable solutions only for some allowed discrete values of the
energy.

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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
7
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: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: hep-lat