Scattering theory for Jacobi operators with quasi-periodic background

被引：29

作者：

Egorova, I

Michor, J

Teschl, G

机构：

[1] Kharkov Natl Univ, UA-61164 Kharkov, Ukraine

[2] Fac Math, A-1090 Vienna, Austria

[3] Int Erwin Schrodinger Inst Math Phys, A-1090 Vienna, Austria

[4] Univ Paris 07, F-75221 Paris 05, France

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2006年 / 264卷 / 03期

关键词：

D O I：

10.1007/s00220-006-1518-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We develop direct and inverse scattering theory for Jacobi operators which are short range perturbations of quasi-periodic finite-gap operators. We show existence of transformation operators, investigate their properties, derive the corresponding Gel'fand-Levitan-Marchenko equation, and find minimal scattering data which determine the perturbed operator uniquely.

引用

页码：811 / 842

页数：32

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