We show that the spectrum of the Schrödinger operator H = −Δ + V in a smooth cylinder with Robin boundary condition ∂_vu = σu is purely absolutely continuous, assuming that the coefficients V and σ are periodic in the axial directions.

中文翻译：

---

具有罗宾边界条件的圆柱体中周期薛定ding算子的谱的绝对连续性

我们表明，薛定谔运营商的频谱ħ = -Δ+ V以平滑的圆筒带Robin边界条件∂ _v U =ΣU纯粹是绝对连续，假设系数V和σ是在轴向方向上是周期性的。