Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local Scattering Operators for P(\phi)_2 Models and the Time-dependent
  Schr\"odinger Equation   We establish the existence of Bogoliubov's local scattering operators for
P(\phi)_2 models of constructive quantum field theory in a nonperturbative way.
To this end, we use the technique of evolution semigroups to prove a new result
on wellposedness of the Cauchy problem for the time-dependent Schr\"odinger
equation under very general assumptions.

21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int