Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Virial relations for ultracold trapped Fermi gases with finite range
  interactions through the BCS-BEC crossover   We study the virial relations for ultracold trapped two component Fermi gases
in the case of short finite range interactions. Numerical verifications for
such relations are reported through the BCS-BEC crossover. As an intermediate
step, it is necessary to evaluate the partial derivatives of the many body
energy with respect to the inverse of the scattering length and with respect to
the interaction range. They are found to have extreme values at the unitary
limit. The virial results are used to check the quality of the variational wave
function involved in the calculations.

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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
16
The categories of this paper are: stat