Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The BCS functional of superconductivity and its mathematical properties   We review recent results concerning the mathematical properties of the
Bardeen-Cooper-Schrieffer (BCS) functional of superconductivity, which were
obtained in a series of papers partly in collaboration with R. Frank, E. Hamza,
S. Naboko, and J.P. Solovej. Our discussion includes, in particular, an
investigation of the critical temperature for a general class of interaction
potentials, as well as a study of its dependence on external fields. We shall
explain how the Ginzburg-Landau model can be derived from the BCS theory in a
suitable parameter regime.

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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int