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math.SP2021★ 1 cited
Two-sided estimates of total bandwidth for Schrödinger operators on periodic graphs
Evgeny Korotyaev, Natalia Saburova
We consider Schrödinger operators with periodic potentials on periodic discrete graphs. Their spectrum consists of a finite number of bands. We obtain two-sided estimates of the to…
math.SP2021
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…