Abstract
In this paper, we show how the methods from [B-G] may be adapted to establish Anderson localization for quasi-periodic lattice Schrödinger operators corresponding to the band model ℤ × {1, ..., b}. Recall that ‘Anderson localization’ means pure point spectrum with exponentially decaying eigenfunctions. We also discuss the issue of dynamical localization.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Bourgain J., Goldstein M. (1999) On non-perturbative localization with quasiperiodic potential. Preprint. Annals of Math., to appear
Bourgain J., Goldstein M., Schlag W. (2000) Anderson localization for Schrödinger operators on ℤ with potentials given by the skew-shift. Preprint
Jitomirskaya S., Last Y. (1999) Power Law subordinary and singular spectra II, Line operators. CMP, to appear
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2000 Springer-Verlag
About this chapter
Cite this chapter
Bourgain, J., Jitomirskaya, S. (2000). Anderson localization for the band model. In: Milman, V.D., Schechtman, G. (eds) Geometric Aspects of Functional Analysis. Lecture Notes in Mathematics, vol 1745. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0107208
Download citation
DOI: https://doi.org/10.1007/BFb0107208
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41070-6
Online ISBN: 978-3-540-45392-5
eBook Packages: Springer Book Archive