Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semiclassical spectral asymptotics for a two-dimensional magnetic
  Schr\"odinger operator: The case of discrete wells   We consider a magnetic Schr\"odinger operator $H^h$, depending on the
semiclassical parameter $h>0$, on a two-dimensional Riemannian manifold. We
assume that there is no electric field. We suppose that the minimal value $b_0$
of the magnetic field $b$ is strictly positive, and there exists a unique
minimum point of $b$, which is non-degenerate. The main result of the paper is
a complete asymptotic expansion for the low-lying eigenvalues of the operator
$H^h$ in the semiclassical limit. We also apply these results to prove the
existence of an arbitrary large number of spectral gaps in the semiclassical
limit in the corresponding periodic setting.

34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
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The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin