Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Sparse one-dimensional discrete Dirac operators II: Spectral properties

Full text
Author(s):
Carvalho, S. L. [1] ; de Oliveira, C. R. [1] ; Prado, R. A. [2]
Total Authors: 3
Affiliation:
[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
Total Affiliations: 2
Document type: Journal article
Source: Journal of Mathematical Physics; v. 52, n. 7 JUL 2011.
Web of Science Citations: 6
Abstract

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] (AU)

FAPESP's process: 10/10236-3 - Spectral properties of the Unidimensional discrete Dirac operator with random sparce potentials
Grantee:Silas Luiz de Carvalho
Support Opportunities: Scholarships in Brazil - Post-Doctoral