Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-real eigenvalues of the Harmonic Oscillator perturbed by an odd,
  two-point $\delta$-potential   In this paper, we consider the perturbations of the Harmonic Oscillator
Operator by an odd pair of point interactions: $z (\delta(x - b) - \delta(x +
b))$. We study the spectrum by analyzing a convenient formula for the
eigenvalue. We conclude that if $z = ir$, $r$ real, as $r \to \infty$, the
number of non-real eigenvalues tends to infinity.

32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat