Spectral behavior of quasi periodic potentials
Abstract
Spectral properties of Schrödinger operators of the type H _{∊}=∆+∊ V, where ∆ is the Laplacian, V a quasiperiodic potential and ∊ a coupling constant, are developed. V is taken to be finite sum of exponentials with generic frequencies. For small ∊ a strong stability is shown. On the other hand, examples (in the finite diffeence case) are given, for which a transition in the type of spectrum occurs, as ∊ is increased.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 September 1982
 DOI:
 10.1007/BF01208483
 Bibcode:
 1982CMaPh..84..377S