Published July 2003
| Published
Journal Article
Open
Log-dimensional spectral properties of one-dimensional quasicrystals
- Creators
-
Damanik, David
- Landrigan, Michael
Chicago
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Abstract
We consider discrete one-dimensional Schrödinger operators on the whole line and establish a criterion for continuity of spectral measures with respect to log-Hausdorff measures. We apply this result to operators with Sturmian potentials and thereby prove logarithmic quantum dynamical lower bounds for all coupling constants and almost all rotation numbers, uniformly in the phase.
Additional Information
© 2003 American Mathematical Society. Communicated by Joseph A. Ball. Received by the editors October 5, 2001 and, in revised form, February 23, 2002. Article electronically published on November 6, 2002. The first author [D.D.] was supported in part by the National Science Foundation through Grant DMS-0010101. The second author [M.L.] was supported in part by the National Science Foundation through Grant DMS-0070755.Attached Files
Published - DAMpams03.pdf
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Additional details
- Eprint ID
- 12270
- Resolver ID
- CaltechAUTHORS:DAMpams03
- National Science Foundation
- DMS-0010101
- National Science Foundation
- DMS-0070755
- Created
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2008-11-13Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field