Singular continuous spectrum for the period doubling Hamiltonian on a set of full measure

被引：25

作者：

Damanik, D ^{[1
]}

机构：

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

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1998年 / 196卷 / 02期

关键词：

D O I：

10.1007/s002200050432

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the discrete one-dimensional Schrodinger operator with potential generated by the period doubling substitution. We show that for almost every element in the hull Omega, with respect to the unique ergodic measure mu on Omega, there are no eigenvalues. Combining this with a result proven by Kotani, we establish purely singular continuous spectrum on a set of full measure.

引用

页码：477 / 483

页数：7

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