4 citations · 4 across the 3 of their papers we have counts for
6 papers
On continuous spectrum of magnetic Schrödinger operators on periodic discrete graphs
Evgeny Korotyaev, Natalia Saburova
We consider Schrödinger operators with periodic electric and magnetic potentials on periodic discrete graphs. The spectrum of such operators consists of an absolutely continuous (a…
Invariants of magnetic Laplacians on periodic graphs
Evgeny Korotyaev, Natalia Saburova
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 eigenv…
Invariants for Laplacians on periodic graphs
E. Korotyaev, N. Saburova
We consider a Laplacian on periodic discrete graphs. Its spectrum consists of a finite number of bands. In a class of periodic 1-forms, i.e., functions defined on edges of the peri…
Laplacians on periodic graphs with guides
Evgeny Korotyaev, Natalia Saburova
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 Lapl…
Effective masses for Laplacians on periodic graphs
Evgeny Korotyaev, Natalia Saburova
We consider Laplacians on periodic both discrete and metric equilateral graphs. Their spectrum consists of an absolutely continuous part (which is a union of non-degenerate spectra…
Laplacians on periodic discrete graphs
Andrey Badanin, Evgeny Korotyaev, Natalia Saburova
We consider Laplacians on -periodic discrete graphs. The following results are obtained: 1) The Floquet-Bloch decomposition is constructed and basic properties are derived. 2…