Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero energy asymptotics of the resolvent for a class of slowly decaying
  potentials   We prove a limiting absorption principle at zero energy for two-body
Schr\"odinger operators with long-range potentials having a positive virial at
infinity. More precisely, we establish a complete asymptotic expansion of the
resolvent in weighted spaces when the spectral parameter varies in cones; one
of the two branches of boundary for the cones being given by the positive real
axis. The principal tools are absence of eigenvalue at zero, singular Mourre
theory and microlocal estimates.

8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat