26 citations · 314 across the 90 of their papers we have counts for
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Schrödinger operator with periodic plus compactly supported potentials on the half-line
Evgeny Korotyaev
We consider the Schrödinger operator with a periodic potential plus a compactly supported potential on the half-line. We prove the following results: 1) a forbidden dom…
Schrödinger operators on armchair nanotubes. I
Andrey Badanin, Jochen Brüning, Evgeny Korotyaev +1
We consider the Schrödinger operator with a periodic potential on quasi-1D models of armchair single-wall nanotubes. The spectrum of this operator consists of an absolutely continu…
Schrödinger operators on armchair nanotubes. II
Andrey Badanin, Jochen Brüning, Evgeny Korotyaev
We consider the Schrödinger operator with a periodic potential on quasi-1D models of armchair single-wall nanotubes. The spectrum of this operator consists of an absolutely continu…
Effective masses for zigzag nanotubes in magnetic fields
Evgeny Korotyaev
We consider the Schrödinger operator with a periodic potential on quasi-1D models of zigzag single-wall carbon nanotubes in magnetic field. The spectrum of this operator consists o…
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…
A priori estimates for the Hill and Dirac operators
Evgeny Korotyaev
Consider the Hill operator in , where is a 1-periodic real potential. The spectrum of is is absolutely continuous and consists of band…