Absolute Continuity of the Spectrum of the Periodic Schrödinger Operator in a Cylinder with Robin Boundary Condition

被引：0

作者：

I. V. Kachkovskiy

N. D. Filonov

机构：

[1] Michigan State University,Department of Mathematics

[2] St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences,undefined

[3] St. Petersburg State University,undefined

来源：

Functional Analysis and Its Applications | 2020年 / 54卷

关键词：

Schrödinger operator in a cylinder; Robin boundary condition; absolutely continuous spectrum; spectral cluster estimates;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：110 / 117

页数：7

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