Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transition from Resonances to Bound States in Nonlinear Systems:
  Application to Bose-Einstein condensates   It is shown using the Gross-Pitaevskii equation that resonance states of
Bose-Einstein condensates with attractive interactions can be stabilized into
true bound states. A semiclassical variational approximation and an independent
quantum variational numerical method are used to calculate the energies
(chemical potentials) and linewidths of resonances of the time-independent
Gross-Pitaevskii equation; both methods produce similar results. Borders
between the regimes of resonances, bound states, and, in two and three
dimensions, collapse, are identified.

17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th