On the singular spectrum for adiabatic quasi-periodic Schrödinger Operators

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dc.creatorMarx, M.
dc.creatorNajar, H.
dc.date2008-11-23
dc.date.accessioned2026-07-07T10:20:34Z
dc.date.available2026-07-07T10:20:34Z
dc.descriptionIn this paper we study spectral properties of a family of quasi-periodic 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 in \cite{FEKL1}.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/0811.3745
dc.identifierhttp://arxiv.org/abs/0811.3745
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174887
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subject34E05, 34E20, 34L05, 34L40
dc.titleOn the singular spectrum for adiabatic quasi-periodic Schrödinger Operators
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