Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-range s-wave interactions in Bose-Einstein Condensates: An exact
  correspondence between truncated free energy and dynamics   We consider the Gross-Pitaevskii(GP) model of a Bose-Einstein Condensate(BEC)
with non-local s-wave interactions. The non-locality is represented by
corrections to the local GP equation. Due to such corrections to the GP
equation, there arise corrections to the free energy functional as well. We
present here a proof of the exact correspondence between the free energy and
the dynamics for typical terms appearing while considering corrections to the
GP equation at any order. This non-trivial correspondence can be used to study
BECs perturbatively while going beyond the Fermi pseudopotential.

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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph