Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear time-dependent one-dimensional Schroedinger equation with
  double well potential   We consider time-dependent Schroedinger equations in one dimension with
double well potential and an external nonlinear perturbation. If the initial
state belongs to the eigenspace spanned by the eigenvectors associated to the
two lowest eigenvalues then, in the semiclassical limit, we show that the
reduction of the time-dependent equation to a 2-mode equation gives the
dominant term of the solution with a precise estimate of the error. By means of
this stability result we are able to prove the destruction of the beating
motion for large enough nonlinearity.

3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg