Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bose-Einstein Condensation for Homogeneous Interacting Systems with a
  One-Particle Spectral Gap   We prove rigorously the occurrence of zero-mode Bose-Einstein condensation
for a class of continuous homogeneous systems of boson particles with
superstable interactions. This is the first example of a translation invariant
continuous Bose-system, where the existence of the Bose-Einstein condensation
is proved rigorously for the case of non-trivial two-body particle
interactions, provided there is a large enough one-particle excitations
spectral gap. The idea of proof consists of comparing the system with specially
tuned soluble models.

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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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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: ao-sci
7
The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: econ