Almost periodic Schrödinger operators along interval exchange transformations |
| |
| Authors: | Cé sar R de Oliveira,Carlos Gutierrez |
| |
| Affiliation: | a Departamento de Matemática, UFSCar, São Carlos, SP 13560-970, Brazil
b Departamento de Matemática, ICMC/USP, Caixa Postal 668, São Carlos, SP 13560-970, Brazil |
| |
| Abstract: | It is shown that Schrödinger operators, with potentials along the shift embedding of irreducible interval exchange transformations in a dense set, have pure singular continuous spectrum for Lebesgue almost all points of the interval. Such potentials are natural generalizations of the Sturmian case. |
| |
| Keywords: | Schrö dinger operator Interval exchange transformation Singular continuous spectrum |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
