Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete spectrum of interactions concentrated near conical surfaces   We study the spectrum of two kinds of operators involving a conical geometry:
the Dirichlet Laplacian in conical layers and Schr\"odinger operators with
attractive $\delta$-interactions supported by infinite cones. Under the
assumption that the cones have smooth cross-sections, we prove that such
operators have infinitely many eigenvalues accumulating below the threshold of
the essential spectrum and we express the accumulation rate in terms of the
eigenvalues of an auxiliary one-dimensional operator with a curvature-induced
potential.

12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
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The categories of this paper are: eess
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys