Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp Spectral Asymptotics for two-dimensional Schr\"odinger operator
  with a strong degenerating magnetic field   I consider two-dimensional Schr\"odinger operator with degenerating magnetic
field and in the generic situation I derive spectral asymptotics as $h\to +0$
and $\mu\to +\infty$ where $h$ and $\mu$ are Planck and coupling parameters
respectively. The remainder estimate is $O(\mu^{-{\frac 1 2}}h^{-1})$ which is
between $O(\mu^{-1}h^{-1})$ valid as magnetic field non-degenerates and
$O(h^{-1})$ valid as magnetic field is identically 0. As $\mu$ is close to its
maximal reasonable value $O(h^{-2})$ the principal part contains correction
terms associated with short periodic trajectories of the corresponding
classical dynamics.

11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga