Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bose-Einstein Condensation on a Manifold with Nonnegative Ricci
  Curvature   The Bose-Einstein condensation for an ideal Bose gas and for a dilute weakly
interacting Bose gas in a manifold with nonnegative Ricci curvature is
investigated using the heat kernel and eigenvalue estimates of the Laplace
operator. The main focus is on the nonrelativistic gas. However, special
relativistic ideal gas is also discussed. The thermodynamic limit of the heat
kernel and eigenvalue estimates is taken and the results are used to derive
bounds for the depletion coefficient. In the case of a weakly interacting gas
Bogoliubov approximation is employed. The ground state is analyzed using heat
kernel methods and finite size effects on the ground state energy are proposed.
The justification of the c-number substitution on a manifold is given.

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The categories of this paper are: stat
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The categories of this paper are: eess
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas