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math.SP2007★ 4 cited
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…
math.SP2005
The Lyapunov function for Schrödinger operators with a periodic 2x2 matrix potential
Andrei Badanin, Jochen Brüning, Evgeny Korotyaev
We consider the Schrödinger operator on the real line with a 2x2 matrix valued 1-periodic potential. The spectrum of this operator is absolutely continuous and consists of interval…