Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Magnetic field influence on the discrete spectrum of locally deformed
  leaky wires   We consider magnetic Schr\"odinger operator $H=(i \nabla +A)^2-\alpha
\delta_\Gamma$ with an attractive singular interaction supported by a piecewise
smooth curve $\Gamma$ being a local deformation of a straight line. The
magnetic field $B$ is supposed to be nonzero and local. We show that the
essential spectrum is $[-\frac14\alpha^2,\infty)$, as for the non-magnetic
operator with a straight $\Gamma$, and demonstrate a sufficient condition for
the discrete spectrum of $H$ to be empty.

18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th