Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp trace asymptotics for a class of 2D-magnetic operators   In this paper we prove a two-term asymptotic formula for for the spectral
counting function for a 2D magnetic Schr\"odinger operator on a domain (with
Dirichlet boundary conditions) in a semiclassical limit and with strong
magnetic field. By scaling, this is equivalent to a thermodynamic limit of a 2D
Fermi gas submitted to a constant external magnetic field.
  The original motivation comes from a paper by H. Kunz in which he studied,
among other things, the boundary correction for the grand-canonical pressure
and density of such a Fermi gas. Our main theorem yields a rigorous proof of
the formulas announced by Kunz. Moreover, the same theorem provides several
other results on the integrated density of states for operators of the type
$(-ih\nabla- \mu {\bf A})^2$ in $L^2({\Omega})$ with Dirichlet boundary
conditions.

15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga