Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the spectrum of non-selfadjoint Schr\"odinger operators with compact
  resolvent   We determine the Schatten class for the compact resolvent of Dirichlet
realizations, in unbounded domains, of a class of non-selfadjoint differential
operators. This class consists of operators that can be obtained via analytic
dilation from a Schr\"odinger operator with magnetic field and a complex
electric potential. As an application, we prove, in a variety of examples
motivated by Physics, that the system of generalized eigenfunctions associated
with the operator is complete, or at least the existence of an infinite
discrete spectrum.

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The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
3
The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: eess