We prove the complete exponential localization of eigenfunctions for the 1-D discrete Schrödinger operators with quasi-periodic potentials having two basic frequencies. It is shown also that for such operators there is no forbidden zones in the spectrum, unlike the operators with one basic frequency.
|Original language||English (US)|
|Number of pages||22|
|Journal||Communications In Mathematical Physics|
|State||Published - Mar 1 1989|
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics