The inverse problem for a discrete periodic Schrödinger operator

被引：0

作者：

Korotyaev E. ^{[1
]}

Kutsenko A. ^{[2
,3
]}

机构：

[1] Institut für Mathematik, Humboldt Universität zu Berlin

[2] St.Petersburg State University, St.Petersburg

[3] Institut für Mathematik, Universität Potsdam

来源：

Journal of Mathematical Sciences | 2006年 / 134卷 / 4期

关键词：

Endpoint; Inverse Problem; Large Potential; Periodic Potential; Discrete Periodic;

D O I：

10.1007/s10958-006-0104-z

中图分类号：

学科分类号：

摘要：

We study isospectral sets for a discrete 1D Schrodinger operator on ℤ with an (N + 1)-periodic potential. We show that for small odd potentials, the isospectral set consists of 2(N + 1)/2 elements, while for large potentials, the isospectral set consists of (N +1)! elements. Moreover, asymptotics for endpoints of the spectrum of the Schrodinger operator for small (and large) potentials are determined. ©2006 Springer Science+Business Media, Inc.

引用

页码：2292 / 2294

页数：2

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