Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reverse engineering in many-body quantum physics: What many-body system
  corresponds to an effective single-particle equation?   The mapping, exact or approximate, of a many-body problem onto an effective
single-body problem is one of the most widely used conceptual and computational
tools of physics. Here, we propose and investigate the inverse map of effective
approximate single-particle equations onto the corresponding many-particle
system. This approach allows us to understand which interacting system a given
single-particle approximation is actually describing, and how far this is from
the original physical many-body system. We illustrate the resulting reverse
engineering process by means of the Kohn-Sham equations of density-functional
theory. In this application, our procedure sheds light on the non-locality of
the density-potential mapping of DFT, and on the self-interaction error
inherent in approximate density functionals.

12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
2
The categories of this paper are: math