Zobrazeno 1 - 10
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pro vyhledávání: '"Saburova, Natalia"'
Autor:
Saburova, Natalia
We consider discrete Schr\"odinger operators with periodic potentials on periodic graphs. Their spectra consist of a finite number of bands. By "rolling up" a periodic graph along some appropriate directions we obtain periodic graphs of smaller dimen
Externí odkaz:
http://arxiv.org/abs/2409.05830
Autor:
Saburova, Natalia
We consider discrete Schr\"odinger operators with periodic potentials on periodic graphs. Their spectra consist of a finite number of bands. We perturb a periodic graph by adding edges in a periodic way (without changing the vertex set) and show that
Externí odkaz:
http://arxiv.org/abs/2402.10780
Autor:
Korotyaev, Evgeny, Saburova, Natalia
We consider Schr\"odinger operators with periodic magnetic and electric potentials on periodic discrete graphs. The spectrum of such operators consists of a finite number of bands. We determine trace formulas for the magnetic Schr\"odinger operators.
Externí odkaz:
http://arxiv.org/abs/2206.09663
Autor:
Korotyaev, Evgeny, Saburova, Natalia
We consider Schr\"odinger operators with periodic potentials on periodic discrete graphs. Their spectrum consists of a finite number of bands. We obtain two-sided estimates of the total bandwidth for the Schr\"odinger operators in terms of geometric
Externí odkaz:
http://arxiv.org/abs/2106.08661
Autor:
Korotyaev, Evgeny, Saburova, Natalia
We consider Schr\"odinger operators with periodic potentials on periodic discrete graphs. Their spectrum consists of a finite number of bands. We determine trace formulas for the Schr\"odinger operators. The proof is based on the decomposition of the
Externí odkaz:
http://arxiv.org/abs/2106.04245
Autor:
Korotyaev, Evgeny, Saburova, Natalia
We consider Schr\"odinger operators with periodic electric and magnetic potentials on periodic discrete graphs. The spectrum of such operators consists of an absolutely continuous (a.c.) part (a union of a finite number of non-degenerate bands) and a
Externí odkaz:
http://arxiv.org/abs/2101.05571
Autor:
Korotyaev, Evgeny, Saburova, Natalia
Publikováno v:
In Linear Algebra and Its Applications 1 November 2023 676:395-440
Autor:
Korotyaev, Evgeny, Saburova, Natalia
We consider a magnetic Laplacian with periodic magnetic potentials on periodic discrete graphs. Its spectrum consists of a finite number of bands, where degenerate bands are eigenvalues of infinite multiplicity. We obtain a specific decomposition of
Externí odkaz:
http://arxiv.org/abs/1808.07762
Autor:
Korotyaev, Evgeny, Saburova, Natalia
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 April 2022 508(2)
Autor:
Korotyaev, Evgeny, Saburova, Natalia
We consider Laplace operators on periodic discrete graphs perturbed by guides, i.e., graphs which are periodic in some directions and finite in other ones. The spectrum of the Laplacian on the unperturbed graph is a union of a finite number of non-de
Externí odkaz:
http://arxiv.org/abs/1702.01502