Dimensional Hausdorff properties of singular continuous spectra

被引：45

作者：

Jitomirskaya, SY ^{[1
]}

Last, Y ^{[1
]}

机构：

[1] CALTECH,DIV PHYS MATH & ASTRON,PASADENA,CA 91125

来源：

PHYSICAL REVIEW LETTERS | 1996年 / 76卷 / 11期

关键词：

D O I：

10.1103/PhysRevLett.76.1765

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present an extension of the Gilbert-Pearson theory of subordinacy, which relates dimensional Hausdorff spectral properties of one-dimensional Schrodinger operators to the behavior of solutions of the corresponding Schrodinger equation. We use this theory to analyze these properties for several examples having the singular-continuous spectrum, including sparse barrier potentials, the almost Mathieu operator and the Fibonacci Hamiltonian.

引用

页码：1765 / 1769

页数：5

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