Sparse one-dimensional discrete Dirac operators II: Spectral properties

被引：9

作者：

Carvalho, S. L. ^{[1
]}

de Oliveira, C. R. ^{[1
]}

Prado, R. A. ^{[2
]}

机构：

[1] Univ Fed Sao Carlos, Dept Matemat, BR-13560970 Sao Carlos, SP, Brazil

[2] UNESP, Dept Matemat Estat & Computacao, BR-19060900 Presidente Prudente, SP, Brazil

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2011年 / 52卷 / 07期

基金：

巴西圣保罗研究基金会;

关键词：

SINGULAR CONTINUOUS-SPECTRUM; SCHRODINGER-OPERATORS; HAUSDORFF DIMENSION; JACOBI MATRICES; POTENTIALS; SUBORDINACY;

D O I：

10.1063/1.3600536

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study spectral properties of some discrete Dirac operators with nonzero potential only at some sparse and suitably randomly distributed positions. As observed in the corresponding Schrodinger operators, we determine the Hausdorff dimension of its spectral measure and identify a sharp spectral transition from point to singular continuous. (C) 2011 American Institute of Physics. [doi:10.1063/1.3600536]

引用

页数：21

共 50 条

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