Published 2004
| Published
Journal Article
Open
A version of Gordon's theorem for multi-dimensional Schrödinger operators
- Creators
- Damanik, David
Abstract
We consider discrete Schrödinger operators in H = Δ + V in ℓ^2(Z^d) with d ≥ 1, and study the eigenvalue problem for these operators. It is shown that the point spectrum is empty if the potential V is sufficiently well approximated by periodic potentials. This criterion is applied to quasiperiodic V and to so-called Fibonacci-type superlattices.
Additional Information
© 2003 American Mathematical Society. Received by the editors October 9, 2001. Article electronically published on September 22, 2003. This research was partially supported by NSF grant DMS-0010101.Attached Files
Published - DAMtams04.pdf
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Additional details
- Eprint ID
- 25154
- Resolver ID
- CaltechAUTHORS:20110829-153829965
- DMS-0010101
- NSF
- Created
-
2011-08-30Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field
- Other Numbering System Name
- MathSciNet review
- Other Numbering System Identifier
- 2022708