3 papers
math.SP2008
Nanoribbons in external electric fields
Evgeny Korotyaev, Anton Kutsenko
We consider the Schrödinger operator on nanoribbons (tight-binding models) in an external electric potentials . The corresponding electric field is perpendicular to the axis of…
math.SP2008
Borg type uniqueness Theorems for periodic Jacobi operators with matrix valued coefficients
Evgeny Korotyaev, Anton Kutsenko
We give a simple proof of Borg type uniqueness Theorems for periodic Jacobi operators with matrix valued coefficients.
math.SP2007
Lyapunov functions for periodic matrix-valued Jacobi operators
Evgeny Korotyaev, Anton Kutsenko
We consider periodic matrix-valued Jacobi operators. The spectrum of this operator is absolutely continuous and consists of intervals separated by gaps. We define the Lyapunov func…