Singular continuous spectrum for a class of substitution Hamiltonians

Authors
Damanik, D
Citation
D. Damanik, Singular continuous spectrum for a class of substitution Hamiltonians, LETT MATH P, 46(4), 1998, pp. 303-311
Citations number
26
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
46
Issue
4
Year of publication
1998
Pages
303 - 311
Database
ISI
SICI code
0377-9017(199812)46:4<303:SCSFAC>2.0.ZU;2-8
Abstract
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 lo cal four-block structure. Mathematics Subject Classifications (1991): 47B80 , 81Q10.