Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A lower bound on the spectral gap of one-dimensional Schr\"odinger
  operators   In this note we provide an explicit lower bound on the spectral gap of
one-dimensional Schr\"odinger operators with non-negative bounded potentials
and subject to Neumann boundary conditions.

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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: stat
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: nlin