On the spectrum of the Schrodinger operator with periodic surface potential

被引：8

作者：

Chahrour, A ^{[1
]}

机构：

[1] Univ Paris 07, Inst Math Jussieu, UFR Math, CNRS,UMR 7586, F-75251 Paris 05, France

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2000年 / 52卷 / 03期

关键词：

Schrodinger operator; periodic potential; surface potential;

D O I：

10.1023/A:1007656612905

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a discrete Schrodinger operator H = -Delta + V acting in l(2)(Z(d)), with periodic potential V supported by the subspace 'surface' {0} x Z(d2). We prove that the spectrum of H is purely absolutely continuous, and that surface waves oscillate in the longitudinal directions to the 'surface'. We also find an explicit formula for the generalized spectral shift function introduced by the author in Helv. Phys. Acta. 72 (1999), 93-122.

引用

页码：197 / 209

页数：13

共 19 条

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