Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A New Estimate on the Two-Dimensional Indirect Coulomb Energy   We prove a new lower bound on the indirect Coulomb energy in two dimensional
quantum mechanics in terms of the single particle density of the system. The
new universal lower bound is an alternative to the Lieb--Solovej--Yngvason
bound with a smaller constant, C=(4/3)^{3/2}\sqrt{5 \pi -1} \approx 5.90 <
C_{LSY}= 192\sqrt{2 \pi} \approx 481.27, which also involves an additive
gradient energy term of the single particle density.

30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org