Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toward the spectral zone control   The desired shifts of the boundaries of spectral allowed zones of periodical
systems are demonstrated. In particular, the phenomenon of merging neighbor
allowed zones is exhibited and its simple explanation is given. It is also
shown how to change the additional fundamental spectral parameter, the degree
of exponential solution growth, at arbitrary given energy points inside the
forbidden zones. This allows one to control tunneling through fragments of
periodic structures at energies belonging to spectral gap. All the results are
based on the finite interval inverse eigenvalue problem which provides us with
complete sets of exactly solvable models. This is a radical extension
(continuous ! multiplicity) in comparison to the famous finite-gap models.

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The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
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The categories of this paper are: q-fin
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int