Published April 2005
| Published
Journal Article
Open
On the singular spectrum of Schrödinger operators with decaying potential
- Creators
- Denisov, S.
- Kupin, S.
Abstract
The relation between Hausdorff dimension of the singular spectrum of a Schrödinger operator and the decay of its potential has been extensively studied in many papers. In this work, we address similar questions from a different point of view. Our approach relies on the study of the so-called Krein systems. For Schrödinger operators, we show that some bounds on the singular spectrum, obtained recently by Remling and Christ-Kiselev, are optimal.
Additional Information
© Copyright 2004, American Mathematical Society. Received by the editors February 27, 2002 and, in revised form, November 4, 2003. Article electronically published on October 5, 2004. The authors are grateful to B. Simon for valuable discussions on the subject of the article.Attached Files
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Additional details
- Eprint ID
- 15949
- Resolver ID
- CaltechAUTHORS:20090918-091322613
- Created
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2009-10-05Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field