Published January 1985
| public
Journal Article
Almost periodic Schrödinger operators IV. The Maryland model
- Creators
-
Simon, Barry
Abstract
The analysis of discrete Schrödinger operators of the form (hu)(n) = u(n + 1) + u(n − 1) + λ tan(παn + θ) u(n) is discussed. Depending on Diophantine properties of α, the spectrum may be dense point, singular continuous or a mixture of the two.
Additional Information
© 1985 Published by Elsevier. Received March 5, 1984. Research partially supported by USNSF Grant MCS-81-20833. I would like to thank R. Prange for useful correspondence and his friendly encouragement, and T. Spencer and D. Thouless for useful discussions. Finally, I would like to express my tremendous debt of gratitude to J. Avron in connection with this paper. He suggested the model to me for further analysis and provided me with many useful discussions and comments on the manuscript. I regret that in the end he felt his contributions did not warrant his being a co-author of this paper.Additional details
- Eprint ID
- 88112
- Resolver ID
- CaltechAUTHORS:20180720-164402687
- MCS-81-20833
- NSF
- Created
-
2018-07-23Created from EPrint's datestamp field
- Updated
-
2021-11-16Created from EPrint's last_modified field