Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A model study on atom-atom interactions with large scattering length in
  quasi-two dimensional traps   We carry out a model study on two-atom interactions and bound states in
quasi-two dimensional traps. The interactions are modeled by two-parameter
potentials with parameters being the range $r_0$ and the $s$-wave scattering
length $a_s$. We show that one can make use of two forms of finite-range model
potentials, one for $a_s > 0$ and the other for $a_s < 0$. Both potentials
reduce to same form in the limits $a_s \rightarrow \pm \infty $. We investigate
into the dependence of the binding energies and the wave functions of two-atom
trap-bound states on $a_s$ and $r_0$. In particular, we study the effects of
$a_s$ ranging from large negative to large positive values on the bound state
properties. Our results show that long-range interactions with infinite
scattering length significantly alter the ground-state energy of the two atoms
in a quasi-two or two dimensional trap. In contrast, short-range interactions
can not significantly change the ground-state energy of two atoms in a 2D
harmonic trap.

14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th