Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Monte Carlo tests of Orbital-Free Density Functional Theory   The relationship between the exact kinetic energy density in a quantum system
in the frame of Density Functional Theory and the semiclassical functional
expression for the same quantity is investigated. The analysis is performed
with Monte Carlo simulations of the Kohn-Sham potentials. We find that the
semiclassical form represents the statistical expectation value of the quantum
nature. Based on the numerical results, we propose an empirical correction to
the existing functional and an associated method to improve the Orbital-Free
results.

12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph