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

被引：1

作者：

Kachkovskiy, I. V. ^{[1
]}

Filonov, N. D. ^{[2
,3
]}

机构：

[1] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[2] Russian Acad Sci, Steklov Math Inst, St Petersburg Dept, St Petersburg, Russia

[3] St Petersburg State Univ, St Petersburg, Russia

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2020年 / 54卷 / 02期

基金：

俄罗斯科学基金会; 美国国家科学基金会;

关键词：

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

D O I：

10.1134/S0016266320020045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the spectrum of the Schrodinger operator H = -Delta + V in a smooth cylinder with Robin boundary condition partial derivative(v)u = sigma u is purely absolutely continuous, assuming that the coefficients V and sigma are periodic in the axial directions.

引用

页码：110 / 117

页数：8

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