Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic spectral analysis in colliding leaky quantum layers   We consider the Schroedinger operator with a complex delta interaction
supported by two parallel hypersurfaces in the Euclidean space of any
dimension. We analyse spectral properties of the system in the limit when the
distance between the hypersurfaces tends to zero. We establish the
norm-resolvent convergence to a limiting operator and derive first-order
corrections for the corresponding eigenvalues.

27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an