Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A numerical study of the Schrodinger-Newton equation 2: the
  time-dependent problem   We present a numerical study of the time-dependent SN equations in 3
dimensions with 3 different kinds of symmetry: spherically symmetric, axially
symmetric and translationally symmetric. We find that the solutions manifest
the competing tendencies of dispersion from the Schrodinger equation and
gravitational attraction from the Poisson equation. Only the ground state is
stable, and lumps of probability attract each other gravitationally before
dispersing to leave a nugget of the ground state.

30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys