Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of Solution of the Nonlinear Schr\"odinger Equation for the
  Bose-Einstein Condensation   We investigate the stability of the Bose-Einstein condensate (BEC) the case
of atoms with negative scattering lengths at zero temperature using the
Ginzburg-Pitaevskii-Gross (GPG) stationary theory. We have found a new exact
equation for determining the upper bound of the critical numbers $N_{cr}$ of
atoms for a metastable state to exist. Our calculated value of $N_{cr}$ for
Bose-Einstein condensation of lithium atoms based on our new equation is in
agreement with those observed in a agreement with those observed in a recent
experiment.

34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th