Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Beyond the Thomas-Fermi approximation for a trapped condensed
  Bose-Einstein gas   Corrections to the zero-temperature Thomas-Fermi description of a dilute
interacting condensed Bose-Einstein gas confined in an isotropic harmonic trap
arise due to the presence of a boundary layer near the condensate surface.
Within the Bogoliubov approximation, the various contributions to the
ground-state condensate energy all have terms of order R^{-4}ln R and R^{-4},
where R is the number-dependent dimensionless condensate radius in units of the
oscillator length. The zero-order hydrodynamic density-fluctuation amplitudes
are extended beyond the Thomas-Fermi radius through the boundary layer to
provide a uniform description throughout all space. The first-order correction
to the excitation frequencies is shown to be of order R^{-4}.

26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th