Evgeny Korotyaev

most citedSchrödinger operator with a junction of two 1-dimensional periodic potentials

19 citations · 28 across the 5 of their papers we have counts for

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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…

math.SP2005★ 6 cited

Spectral asymptotics for periodic fourth order operators

Andrei Badanin, Evgeny Korotyaev

We consider the operator $d^{4} d t^{4} + V$ on the real line with a real periodic potential $V$ . The spectrum of this operator is absolutely continuous and consists of intervals separat…

math.SP2005★ 19 cited

Schrödinger operator with a junction of two 1-dimensional periodic potentials

Evgeny Korotyaev

The spectral properties of the Schrödinger operator $T_{t} y = - y^{''} + q_{t} y$ in $L^{2} (R)$ are studied, with a potential $q_{t} (x) = p_{1} (x), x < 0,$ and $q_{t} (x) = p (x + t), x > 0,$ where $p_{1}, p$ ar…