Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral analysis of a complex Schr\"odinger operator in the
  semiclassical limit   We consider the Dirichlet realization of the operator $-h^2\Delta+iV$ in the
semi-classical limit $h\to0$, where $V$ is a smooth real potential with no
critical points. For a one dimensional setting, we obtain the complete
asymptotic expansion, in powers of $h$, of each eigenvalue. In two dimensions
we obtain the left margin of the spectrum, under some additional conditions.

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The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
18
The categories of this paper are: econ
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an