Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Ground State Energy of a Dilute Bose Gas   According to a formula that was put forward many decades ago the ground state
energy per particle of an interacting, dilute Bose gas at density $\rho$ is
$2\pi\hbar^2\rho a/m$ to leading order in $\rho a^3\ll 1$, where $a$ is the
scattering length of the interaction potential and $m$ the particle mass. This
result, which is important for the theoretical description of current
experiments on Bose-Einstein condensation, has recently been established
rigorously for the first time. We give here an account of the proof that
applies to nonnegative, spherically symmetric potentials decreasing faster than
$1/r^3$ at infinity.

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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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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: hep-lat
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The categories of this paper are: atom-ph