Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integrability of the pairing hamiltonian   We show that a many-body Hamiltonian that corresponds to a system of fermions
interacting through a pairing force is an integrable problem, i.e. it has as
many constants of the motion as degrees of freedom. At the classical level this
implies that the Time-dependent Hartree-Fock- Bogoliubov dynamics is integrable
and at the quantum level that there are conserved operators of two-body
character which reduce to the number operators when the pairing strength
vanishes. We display these operators explicitly and study in detail the
three-level example.

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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
34
The categories of this paper are: chem-ph