On the Singular Spectrum for Adiabatic Quasiperiodic Schrödinger Operators
Joint Authors
Source
Advances in Mathematical Physics
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-30, 30 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-05-24
Country of Publication
Egypt
No. of Pages
30
Main Subjects
Abstract EN
We study spectral properties of a family of quasiperiodic Schrödinger operators on the real line in the adiabatic limit.
We assume that the adiabatic iso-energetic curve has a real branch that is extended along the momentum direction.
In the energy intervals where this happens, we obtain an asymptotic formula for the Lyapunov exponent and show that the spectrum is purely singular.
This result was conjectured and proved in a particular case by Fedotov and Klopp (2005).
American Psychological Association (APA)
Marx, Magali& Najar, Hatem. 2010. On the Singular Spectrum for Adiabatic Quasiperiodic Schrödinger Operators. Advances in Mathematical Physics،Vol. 2010, no. 2010, pp.1-30.
https://search.emarefa.net/detail/BIM-449314
Modern Language Association (MLA)
Marx, Magali& Najar, Hatem. On the Singular Spectrum for Adiabatic Quasiperiodic Schrödinger Operators. Advances in Mathematical Physics No. 2010 (2010), pp.1-30.
https://search.emarefa.net/detail/BIM-449314
American Medical Association (AMA)
Marx, Magali& Najar, Hatem. On the Singular Spectrum for Adiabatic Quasiperiodic Schrödinger Operators. Advances in Mathematical Physics. 2010. Vol. 2010, no. 2010, pp.1-30.
https://search.emarefa.net/detail/BIM-449314
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-449314
