Communications in Mathematical Physics

, Volume 88, Issue 4, pp 465–477

Localization inv-dimensional incommensurate structures

  • J. Bellissard
  • R. Lima
  • E. Scoppola
Article

DOI: 10.1007/BF01211954

Cite this article as:
Bellissard, J., Lima, R. & Scoppola, E. Commun.Math. Phys. (1983) 88: 465. doi:10.1007/BF01211954

Abstract

We exhibit a class of quasi-periodic unbounded potential in thev-dimensional discrete Schrödinger equation, for which the spectrum is only pure point, with exponentially localized states and a dense set of eigenvalues in ℝ.

Copyright information

© Springer-Verlag 1983

Authors and Affiliations

  • J. Bellissard
    • 1
  • R. Lima
    • 2
  • E. Scoppola
    • 1
  1. 1.Université de ProvenceMarseilleFrance
  2. 2.Centre de Physique ThéoriqueC.N.R.S.Marseille Cedex 09France