Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability estimate in the inverse scattering for a single quantum
  particle in an external short-range potential   In this paper we consider the inverse scattering problem for the
Schr{\"o}dinger operator with short-range electric potential. We prove in
dimension n $\geq$ 2 that the knowledge of the scattering operator determines
the electric potential and we establish H{\"o}lder-type stability in
determining the short range electric potential.

27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph