Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eigenvalues for perturbed periodic Jacobi matrices by the Wigner-von
  Neumann approach   The Wigner-von Neumann method, which was previously used for perturbing
continuous Schr\"{o}dinger operators, is here applied to their discrete
counterparts. In particular, we consider perturbations of arbitrary
$T$-periodic Jacobi matrices. The asymptotic behaviour of the subordinate
solutions is investigated, as too are their initial components, together giving
a general technique for embedding eigenvalues, $\lambda$, into the operator's
absolutely continuous spectrum. Introducing a new rational function,
$C(\lambda;T)$, related to the periodic Jacobi matrices, we describe the
elements of the a.c. spectrum for which this construction does not work (zeros
of $C(\lambda;T)$); in particular showing that there are only finitely many of
them.

16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
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The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th