Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reducing scattering problems under cone potentials to normal form by
  global canonical transformations   We introduce a class of Hamiltonian scattering systems which can be reduced
to the "normal form" $\dot P=0$, $\dot Q=P$, by means of a global canonical
transformation $ (P,Q)=A(p,q), p,q\in R^n$, defined through asymptotic
properties of the trajectories.
  These systems are obtained requiring certain geometrical conditions on $\dot
p=-\nabla V(q)$, $\dot q=p$, where $V$ is a bounded below "cone potential",
i.e., the force $-\nabla V(q)$ always belongs to a closed convex cone which
contains no straight lines.
  We can deal with very different asymptotic behaviours of the potential and
the potential can undergo small perturbations in any arbitrary compact set
without losing the existence and the properties of $A$.

35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc