Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic Thomas-Fermi-Weizs\"acker model for quantum dots: a comparison
  with Kohn-Sham ground states   The magnetic extension of the Thomas-Fermi-Weizs\"acker kinetic energy is
used within density-functional-theory to numerically obtain the ground state
densities and energies of two-dimensional quantum dots. The results are
thoroughly compared with the microscopic Kohn-Sham ones in order to assess the
validity of the semiclassical method. Circular as well as deformed systems are
considered.

22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics