Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-dimensional Bosons in Three-dimensional Traps   Recent experimental and theoretical work has indicated conditions in which a
trapped, low-density Bose gas ought to behave like the 1D delta-function Bose
gas solved by Lieb and Liniger. Up to now the theoretical arguments have been
based on variational - perturbative ideas or numerical investigations. There
are 4 parameters: density, transverse and longitudinal dimensions, and
scattering length. In this paper we explicate 5 parameter regions in which
various types of 1D or 3D behavior occur. Our discussion is based on a rigorous
analysis of the many-body Schroedinger equation.
  This version of the article is a combination of the earlier 4-page arXiv
version and the revised 4-page Physical Review Letters version.

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The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat