Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Spectrum of Non-Local Discrete Schroedinger Operators with a
  delta-Potential   The behaviour of the spectral edges (embedded eigenvalues and resonances) is
discussed at the two ends of the continuous spectrum of non-local discrete
Schr\"odinger operators with a $\delta$-potential. These operators arise by
replacing the discrete Laplacian by a strictly increasing $C^1$-function of the
discrete Laplacian. The dependence of the results on this function and the
lattice dimension are explicitly derived. It is found that while in the case of
the discrete Schr\"odinger operator these behaviours are the same no matter
which end of the continuous spectrum is considered, an asymmetry occurs for the
non-local cases. A classification with respect to the spectral edge behaviour
is also offered.

28
The categories of this paper are: alg-geom
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
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph