Singular continuous spectrum for a class of substitution Hamiltonians

被引：33

作者：

Damanik, D ^{[1
]}

机构：

[1] Univ Frankfurt, Fachbereich Math, D-60054 Frankfurt, Germany

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1998年 / 46卷 / 04期

关键词：

Schrodinger operators; substitution potentials; singular continuous spectrum;

D O I：

10.1023/A:1007510721504

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider discrete one-dimensional Schrodinger operators with potentials generated by primitive substitutions. A purely singular continuous spectrum with probability one is established provided that the potentials have a local four-block structure. Mathematics Subject Classifications (1991): 47B80, 81Q10.

引用

页码：303 / 311

页数：9

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