Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher order terms in the condensate fraction of a homogeneous and
  dilute Bose gas   The condensate fraction of a homogeneous and dilute Bose gas is expanded as a
power series of $\sqrt{n a^3}$ as $N_0/N = 1 -c_1 (n a^3)^{1/2} -c_2 (n a^3) -
c_3 (n a^3)^{3/2}\hdots.$ The coefficient $c_1$ is well-known as $8/3
\sqrt{\pi}$, but the others are unknown yet. Considering two-body contact
interactions and applying a canonical transformation method twice we developed
the method to obtain the higher order coefficients analytically. An iteration
method is applied to make up a cutoff in a fluctuation term. The coefficients
ares $c_2=2(\pi - 8/3)$ and $c_3=(4/\sqrt{\pi}) (\pi -8/3)(10/3-\pi)$.

30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con