Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bethe states for the two-site Bose-Hubbard model: a binomial approach   We calculate explicitly the Bethe vectors states by the algebraic Bethe
ansatz method with the $gl(2)$-invariant $R$-matrix for the two-site
Bose-Hubbard model. Using a binomial expansion of the n-th power of a sum of
two operators we get and solve a recursion equation. We calculate the scalar
product and the norm of the Bethe vectors states. The form factors of the
imbalance current operator are also computed.

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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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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: acc-phys
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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: funct-an
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci