Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eigenvalue estimates for the Aharonov-Bohm operator in a domain   We prove semi-classical estimates on moments of eigenvalues of the
Aharonov-Bohm operator in bounded two-dimensional domains. Moreover, we present
a counterexample to the generalized diamagnetic inequality which was proposed
by Erdos, Loss and Vougalter. Numerical studies complement these results.

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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: eess
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The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
8
The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin