Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Three identical bosons: Properties in non-integer dimensions and in
  external fields   Three-body systems that are continuously squeezed from a three-dimensional
(3D) space into a two-dimensional (2D) space are investigated. Such a squeezing
can be obtained by means of an external confining potential acting along a
single axis. However, this procedure can be numerically demanding, or even
undoable, especially for large squeezed scenarios. An alternative is provided
by use of the dimension $d$ as a parameter that changes continuously within the
range $2\leq d \leq 3$. The simplicity of the $d$-calculations is exploited to
investigate the evolution of three-body states after progressive confinement.
The case of three identical spinless bosons with relative $s$-waves in 3D, and
a harmonic oscillator squeezing potential is considered. We compare results
from the two methods and provide a translation between them, relating
dimension, squeezing length, and wave functions from both methods. All
calculations are then possible entirely within the simpler $d$-method, but
simultaneously providing the equivalent geometry with the external potential.

17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat